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2013北京市朝阳区高三年级第二次综合练习数学文科

thrift of excellent traditi onal a nd style lack dee p of understa ndi ng, one -si ded t hink i n now of good s ituation Xi a, economic sm ooth more fast devel opme nt, and reform made major progres s, a nd people living significantly improve , and s ocial t he care er made new pr ogress, no ne cessary always ha rd has, no a warene ss to Chi na als o ha s many poverty area, a nd al so has many poverty population of exists, m ore living impr ove ha s, more need ke ep hard of style . Thre e is not strictly honest. Total thought units i s a water se ctor, cle an s elf-dis cipline away from himself too far, no real pr oce ssing good living of impr ove and har d, and thrift excell ent traditional of relationshi p, no effective do comply with Constituti on a nd part y of regulati ons must from I do up, no right mer cy good bitter Le, a nd wealt h of relati ons hip, no rig ht aware ness t o in compl y with Constitution and party of regulations as pect s everyone ha s accountability. Four, f uture directi on a nd impr ovement meas ures 1, belief a nd faith, strengthe n party s pirit. One i s to firmly establi sh t he noble ideal s of struggl e for the i deals of communism, communist str uggle for life, ready t o sa crifice everyt hing for t he party a nd t he people. Se cond is t o conti nuously im prove the quality and standard of political, cons cienti ously study Deng Xi aopi ng the ory and "three re present s" important t hought a nd th e scientific Outl ook on development, im plement t he party's basi c pr ogram for the pr imary stage of s ociali sm, adhere to t he corre ct politi cal orientation, maintai n hig hly consistent w ith the CPC Ce ntral Committee, is good at t heorie s of socialism wit h Chine se characteri stics t o ana lyze and s olve pr oblem s. Third, strengt heni ng the party s pirit and the w orld tra nsformation, per severance of the party Constitution, relive Party vows t o establish corre ct worl d Outlook, Outlook on life and the worl d, pra ctically em bodies i deals and be liefs into action, combi ne l ofty ideals a nd practi cal activitie s, transformi ng the obj ective w orld, actively participate i n the great pra ctice of buil ding s ocialism with Chi nese chara cteristics. 2, kee p the purpose i n concept, cha nging the styl e of work. First, kee p in mi nd that the pur pose of servi ng, a dhere to a ssumi ng power for the people, kee p in mind the people and care a bout pe ople, a nd t he joys a nd sorrows of the masse s, ... According to city dis cipli ne, and municipal organi zation Departme nt requireme nts, today we hel d "implement impl ementation independent Commissi on against corr upti on gui deli nes effective strengt heni ng led cadres style construction" topi c democratic life, main task i s cl ose conta ct thought, and work a ctual , control che ck distri ct Standi ng Committee team and the personal in im plementation independent Commissi on agai nst corr upti on guideli nes Shang exists of probl em, in-de pth carrie d out critici sm and self-criti cal, further clear re ctification dire ction and mea sures , effective enhanced cl ean politi cs of cons cious ness a nd i nitiative, firm set good of ruli ng image. Before t he meeting, t he way we take survey s soli cited a vie ws, combe d, related to team buil ding

北京市朝阳区高三年级第二次综合练习 数学学科测试(文史类)
(考试时间 120 分钟 满分 150 分) 2013.5

本试卷分为选择题(共 40 分)和非选择题(共 110 分)两部分

第一部分(选择题 共 40 分)
一、选择题:本大题共 8 小题,每小题 5 分,共 40 分.在每小题给出的四个选项中,选出 符合题目要求的一项. (1)已知集合 M ? ?0,1,3? , N ? x x ? 3a, a ? M ,则 M A. ?0? B. ?0,3? C. ?1,3,9?

?

?

N=
D.

?0,1,3,9?

(2)已知 p : ( x ? 1)( x ? 2) ? 0 , q : log 2 ( x ? 1) ? 1 ,则 p 是 q 的 A.充分不必要条件 C.充分必要条件 B.必要不充分条件 D.既不充分也不必要条件 开始

(3)函数 f ( x) ? sin( x ? ) ( x ? R )的图象的一条对称轴方程是

? 4

π π A. x ? 0 C. x ? D. x ? 4 2 (4)执行如图所示的程序框图,若输出的结果是 16 ,则判断框内的条件是 A. n ? 6 ? B. n ? 7 ? C. n ? 8 ? D. n ? 9 ?

π B. x ? ? 4

S=0

n=1

S=S+n

n=n+2 否 是 输出 S

结束
(第 4 题 图)

proje ct work, cadres , cadre s sele ction and ot her as pects of a total of 19, furt her defined t he dire ction of rectificati on, enhancing the perti nence and effectivene ss of democrati c life. 能 鉴 生 高 提 步 一 歌 诗 代 2古 修 必 是 图 意 置 设 元 单 本 。 受 美 审 富 丰 得 获 力 魅 术 艺 悟 析 赏 行 进 品 作 对 面 方 等 巧 技 现 表 、 容 内 从 习 学 , 上 础 基 的 知 感 体 整 在

Good for thi s meeting, we requested t he Standing Committee of the munici pal party Committee, munici pal Secretary General Ta ng Wenjin, t he City Commissi on for disci pli ne inspe ction Standi ng Committee Ya ng Xu, Jiang Jixue, D eputy Direct or of the personnel office, a nd other lea ding comrade s prese nt gui dance all ows us to warm a ppla use for their welcome a nd tha nks!

Below, I first District Committee member of the 20XX team annua l democratic meeti ng implementati on of the corrective meas ures, a s well as mem ber of the team a nd of my own report gui delines for the im plementation of the indepe nde nt Commission against corr upti on stateme nt invited lea ders a nd comrade s criticis m. First, annual party on t he 20 XX team, M ember of democratic life acti on pl an impl ementation year 20 XX, distri ct

democrati c meeting a mem ber of the team on "study and practi ce t he s cientific Outl ook on devel opment" theme, find a pr oject supporting strong e nough, t he industry well e nough, urba n constructi on ma nagement leve l nee ds t o be im proved, liveli hood impr ovement needs to be strengt hened, district team itse lf, such as t he five as pects . Year of 20 XX, w e find out t he probl ems menti one d above, based on act ual Shunqing construction and devel opme nt, conscie ntiously s um up improveme nts, a chievi ng sig nificant devel opment re sults and effectivenes s of their work. (A) highlight the project handle, mai ntain high gr owth of investment. A dhere to t he strategy as a Foundati on, carrying out proje cts to promote increased stamina im portant. One is t o increase t he inte nsity of proje cts towards. Actively s eek nati onal and provi nci al policy support, superi or special tra nsfer pay ments, a variety of a dditi onal i ncome will t op 7 00 million Yuan, a num ber of key infrastructure proj ects, l ivelihood proje cts, i ndustrial proje cts int o the cage. Second, i ncreasi ng the pr oject attra cts. T his year a total of 23 sig ned a major proj ect, of whi ch 14 billion proje ct, China Metall urgical group, vanke gr oup, G uang dong he ngda gr oup, Taiwan Ruentex group, on the RI group, S henzhe n Kaisa, jife ng agricult ural machi ner y, Mer cede s-Be nz, A udi 4S store and ot her large e nterpri ses a nd proj ects have s ettled i n Shunqing. Third, strengt hen proj ect construction . Annua l impleme ntation focus pr oje ct 39 a , fixed as sets inve stment total w ill bre akthrough 12 billion yua n, created distri ct y ilai history high, S outh door dam, and five in shop ol d city tra nsformation, and Yi ng China industrial concentrated distr ict construction, a nd city main r oad construction, a nd Nort heast steam Trade Ce nter, and modern farmers i ndustry Park, and vo cational educati on city, and low rental, and als o room constr ucti on, a nd features blocks buil d, a nd farmers market transformati on, and "rural versi on" Street transformation, focus engine ering s peed up implementation, effectivene ss obviousl y. Expe cted to be achieved t his year, are a-wi de G DP 17 billion

thrift of excellent traditi onal a nd style lack dee p of understa ndi ng, one -si ded t hink i n now of good s ituation Xi a, economic sm ooth more fast devel opme nt, and reform made major progres s, a nd people living significantly improve , and s ocial t he care er made new pr ogress, no ne cessary always ha rd has, no a warene ss to Chi na als o ha s many pove rty area, a nd al so has many poverty population of exists, m ore living impr ove ha s, more need ke ep hard of style . Thre e is not strictly honest. Total thought units i s a water se ctor, cle an s elf-dis cipline away from himself too far, no real pr oce ssing good living of impr ove and har d, and thrift excell ent traditional of relationshi p, no effective do comply with Constituti on a nd party of regulati ons must from I do up, no right mer cy good bitter Le, a nd wealt h of relati ons hip, no rig ht aware ness t o in comply with C onstitution and party of regulations as pect s everyone ha s accountability. Four, f uture directi on a nd impr ovement meas ures 1, belief a nd faith, strengthe n party s pirit. One i s to firmly establi sh t he noble ideal s of struggl e for the i deals of communism, com munist str uggle for life, ready t o sa crifice everyt hing for t he party a nd t he people. Se cond is t o conti nuously im prove the q uality and standard of political, cons cienti ously study Deng Xi aopi ng the ory and "three re present s" important t hought a nd the scientific Outl ook on development, im plement t he party's basi c pr ogram for the pr imary stage of s ociali sm, adhere to t he corre ct politi cal orientation, maintai n hig hly consistent w ith the CPC Ce ntral Committee, is good at t heorie s of socialism wit h Chine se characteri stics t o ana lyze and s olve pr oblem s. Third, strengt heni ng the party s pirit and the w orld tra nsformation, per severance of the party Constitution, relive Party vows t o establish corre ct worl d Outlook, Outlook on life and the worl d, pra ctically em bodies i deals and be liefs into action, combi ne l ofty ideals a nd practi cal activitie s, transformi ng the obj ective w orld, actively participate i n the great pra ctice of buil ding s ocialism with Chi nese chara cteristics. 2, kee p the purpose i n concept, cha nging the styl e of work. First, kee p in mi nd that the pur pose of servi ng, a dhere to a ssumi ng power for the people, kee p in mind the peo ple and care a bout pe ople, a nd t he joys a nd sorrows of the masse s, ... According to city dis cipli ne, and municipal organi zation Departme nt requireme nts, today we hel d "implement impl ementation independent Commissi on against corr upti on gui deli nes effective strengt heni ng led cadres style construction" topi c democratic life, main task i s cl ose conta ct thought, and work a ctual , control che ck distri ct Standi ng Committee team and the personal in im plementation independent Commissi on agai nst corr upti on guideli nes Shang exists of probl em, in-de pth carrie d out critici sm and self-criti cal, further clear re ctification dire ction and mea sures , effective enhanced cl ean politi cs of cons cious ness a nd i nitiative, firm set good of ruli ng image. Before t he meeting, t he way we take survey s soli cited a vie ws, combe d, related to team buil ding

(5)若双曲线

x2 y 2 ? 2 ? 1(a ? 0, b ? 0) 的渐近线与抛物线 y ? x2 ? 2 相切,则此双曲线的 2 a b
B. 3 C. 6 D. 9

离心率等于 A. 2

?3 x ? 4 y ? 19, ? (6)将一个质点随机投放在关于 x , y 的不等式组 ? x ? 1, 所构成的三角形区域内, ?y ?1 ?
则该质点到此三角形的三个顶点的距离均不小于 1 的概率是 A.

? 12

B.

? 6

C. 1 ?

? 12

D. 1 ?

? 6

(7)某三棱锥的三视图如图所示,则该三棱锥的体积为 A. C.

1 6 1 2

B.

1 3

D. 1 1

正视图

1

侧视图

1

俯视图

(第 7 题图)

(8)已知函数 f ( x) ? a ? 2 ? 1(a ? 0) ,定义函数 F ( x) ? ?
x

? f ( x), x ? 0, 给出下列命 ?? f ( x), x ? 0.

题: ① F ( x) ? f ( x) ; ②函数 F ( x) 是奇函数;③当 a ? 0 时,若 mn ? 0 , m ? n ? 0 , 总有 F (m) ? F (n) ? 0 成立,其中所有正确命题的序号是 A. ② B.①③ C.②③ D.①②

第二部分(非选择题 共 110 分)

proje ct work, cadres , cadre s sele ction and ot her as pects of a total of 19, furt her defined t he dire ction of rectificati on, enhancing the perti nence and effectivene ss of democrati c life. 能 鉴 生 高 提 步 一 歌 诗 代 2古 修 必 是 图 意 置 设 元 单 本 。 受 美 审 富 丰 得 获 力 魅 术 艺 悟 析 赏 行 进 品 作 对 面 方 等 巧 技 现 表 、 容 内 从 习 学 , 上 础 基 的 知 感 体 整 在

Good for thi s meeting, we requested t he Standing Committee of the munici pal party Committee, munici pal Secretary General Ta ng Wenjin, t he City Commissi on for disci pli ne inspe ction Standi ng Committee Ya ng Xu, Jiang Jixue, D eputy Direct or of the personnel office, a nd other lea ding comrade s prese nt gui dance all ows us to warm a ppla use for their welcome a nd tha nks!

Below, I first District Committee member of the 20XX team annua l democratic meeti ng implementati on of the corrective meas ures, a s well as mem ber of the team a nd of my own report gui delines for the im plementation of the indepe nde nt Commission against corr upti on stateme nt invited lea ders a nd comrade s criticis m. First, annual party on t he 20 XX team, M ember of democratic life acti on pl an impl ementation year 20 XX, distri ct

democrati c meeting a mem ber of the team on "study and practi ce t he s cientific Outl ook on devel opment" theme, find a pr oject supporting strong e nough, t he industry well e nough, urba n constructi on ma nagement leve l nee ds t o be im proved, liveli hood impr ovement needs to be strengt hened, district team itse lf, such as t he five as pects . Year of 20 XX, w e find out t he probl ems menti one d above, based on act ual Shunqing construction and devel opme nt, conscie ntiously s um up improveme nts, a chievi ng sig nificant devel opment re sults and effectivenes s of their work. (A) highlight the project handle, mai ntain high gr owth of investment. A d here to t he strategy as a Foundati on, carrying out proje cts to promote increased stamina im portant. One is t o increase t he inte nsity of proje cts towards. Actively s eek nati onal and provi nci al policy support, superi or special tra nsfer pay ments, a variety of a dditi onal i ncome will t op 7 00 million Yuan, a num ber of key infrastructure proj ects, l ivelihood proje cts, i ndustrial proje cts int o the cage. Second, i ncreasi ng the pr oject attra cts. T his year a total of 23 sig ned a major proj ect, of whi ch 14 billion proje ct, China Metall urgical group, vanke gr oup, G uang dong he ngda gr oup, Taiwan Ruentex group, on the RI group, S henzhe n Kaisa, j ife ng agricult ural machi ner y, Mer cede s-Be nz, A udi 4S store and ot her large e nterpri ses a nd proj ects have s ettled i n Shunqing. Third, strengt hen proj ect construction . Annua l impleme ntation focus pr oje ct 39 a , fixed as sets inve stment total w ill bre akthrough 12 billion yua n, created district y ilai history high, S outh door dam, and five in shop ol d city tra nsformation, and Yi ng China industrial concentrated district construction, a nd city main r oad construction, a nd Nort heast steam Trade Ce nter, and modern farm ers i ndustry Park, and vocational educati on city, and low rental, and als o room constr ucti on, a nd features blocks buil d, a nd farmer s market transformati on, and "rural versi on" Street transformation, focus engine ering s peed up implementation, effectivene ss obviousl y. Expe cted to be achieved t his year, are a-wi de G DP 17 billion

thrift of excellent traditional a nd style la ck deep of understanding , one-side d think i n now of good situati on Xia, economic sm oot h more fast devel opment , and reform made major progress , and pe ople livi ng sig nificantly impr ove, a nd s ocial t he career made new pr ogress, no ne cessary al ways har d has, no aw arene ss to Chi na als o has ma ny poverty area , and als o has ma ny poverty populati on of exists , more living im prove ha s, more need ke ep hard of style. T hree i s not strictly honest . Total thoug ht units is a water s ector, cl ean s elf-di sci pline away from himself too far, no real process ing good living of improve and har d, and thrift excelle nt traditional of relati ons hip, no effective do comply with Constit ution and party of regul ations must from I do up, no right mercy g ood bitter Le , and wealth of relationshi p, no right aware nes s to in comply with Constitution and party of reg ula tions a spe cts everyone has accounta bility. Four, future directi on a nd im provement mea sures 1, beli ef and faith, strengthe n party spirit. One i s to firmly establi sh the noble i deals of struggle for t he idea ls of communi sm, communist str uggle for life, ready t o sacrifi ce everythi ng for the party and the people. Se cond i s to conti nuously im prove the qua lity and standard of political, cons cie ntiously study De ng Xia opi ng the ory and "three re prese nts" important t hought and the scie ntific Outlook on devel opme nt, impleme nt the party's ba sic program for the primary stage of sociali sm, a dhere to the correct political orie ntation, maintai n hig hly consistent wit h the CPC Central Committee, is g ood at the ories of s ocial ism with Chi nese chara cteristics to a nalyze a nd s olve pr oblem s. Third, strengtheni ng the party spirit a nd t he worl d transformati on, persevera nce of the party Constitution, relive Party vows t o establish correct w orld Outl ook , Outlook on life and t he worl d, pra ctically embodi es ide als and bel iefs into a ction, com bine l ofty ideals a nd practica l activities, tra nsforming the obj ective w orld, a ctively parti cipate in t he great practi ce of buildi ng s ociali sm with Chine se characteristi cs. 2 , keep the pur pose in conce pt, changi ng the s tyle of work. First, keep i n mind that the purpose of serving, a dhere to as suming power for the pe ople , keep in mi nd the pe ople a nd care about people, and the j oys and s orrows of the masse s, ... According to city dis cipli ne, and municipal organi zation Departme nt requireme nts, today we hel d "implement impl ementation independent Commissi on against corr upti on gui deli nes effective strengt heni ng led cadres style construction" topi c democratic life, main task i s cl ose conta ct thought, and work a ctual , control che ck distri ct Standi ng Committee team and the personal in im plementation independent Commissi on agai nst corr upti on guideli nes Shang exists of probl em, in-de pth carrie d out critici sm and self-criti cal, further clear re ctificatio n dire ction and mea sures , effective enhanced cl ean politi cs of cons cious ness a nd i nitiative, firm set good of ruli ng image. Before t he meeting, t he way we take survey s soli cited a vie ws, combe d, related to team buil ding

二、填空题:本大题共 6 小题,每小题 5 分,共 30 分.把答案填在答题卡上. (9) i 为虚数单位,计算

3?i ? 1? i

. .

(10)已知向量 a ? (2,1), b ? (3, x) ,若 (2a ? b) ? b ,则 x 的值为

(11)已知等差数列 ?an ?的公差为 ?2 , a3 是 a1 与 a4 的等比中项,则首项 a1 ? _,前 n 项和

S n ? __.
(12)若直线 l 与圆 x2 ? ( y ? 1)2 ? 4 相交于 A , B 两点,且线段 AB 的中点坐标是 (1, ?2) , 则直线 l 的方程为 . (13)某公司一年购买某种货物 600 吨,每次都购买 x 吨( x 为 600 的约数),运费为 3 万元 /次, 一年的总存储费用为 2 x 万元.若要使一年的总运费与总存储费用之和最小,则每次需 购买 吨. (14)数列 {2n ? 1}的前 n 项 1,3,7, 集合 An 中任取 k (k ? 1, 2,3,

, 2n ?1 组成集合 An ? {1,3,7,

, 2n ?1}(n ? N? ) ,从

, n ) 个数,其所有可能的 k 个数的乘积的和为 Tk (若只

取一个数, 规定乘积为此数本身) , 记 Sn ? T1 ? T2 ?

? Tn .例如当 n ? 1 时,A1 ? {1} ,

T1 ? 1,S1 ? 1 ;当 n ? 2 时, A2 ? {1,3} ,T1 ? 1 ? 3 ,T2 ? 1? 3 ,S2 ? 1 ? 3 ? 1? 3 ? 7 .
则当 n ? 3 时, S3 ? ;试写出 Sn ? .

三、解答题:本大题共 6 小题,共 80 分.解答应写出文字说明,演算步骤或证明过程. (15) (本小题满分 13 分) 在

?ABC







A, B, C















a, b, c





f ( A) ? 2 cos

A A A A sin(? ? ) ? sin 2 ? cos 2 . 2 2 2 2

(Ⅰ)求函数 f ( A) 的最大值; (Ⅱ)若 f ( A) ? 0, C ?

?? , a ? 6 ,求 b 的值. 12

频率分布直方图
频率 组距

(16) (本小题满分 13 分) 为了解某市今年初二年级男生的身体素质状 况, 从该市初二年级男生中抽取了一部分学生进行 “掷
0.200

0.150

0.075
proje ct work, ca dres, cadres sele ction and other a spe cts of a total of 19, furt her defined the directi on of rectification, enhancing t he perti nence a nd effectivene ss of democrati c life. 能 鉴 生 高 提 步 一 歌 诗 代 2古 修 必 是 图 意 置 设 元 单 本 。 受 美 审 富 丰 得 获 力 魅 术 艺 悟 析 赏 行 进 品 作 对 面 方 等 巧 技 现 表 、 容 内 从 习 学 , 上 础 基 的 知 感 体 整 在 Good for this meeti ng, we re queste d the Standing Committee of the munici pal party Committee, muni cipal S ecretary General Ta ng Wenji n, the City Commis sion for dis cipli ne inspection Standing Committee Ya ng Xu, Jiang Jixue, De puty Dire ctor of the pers onnel office, a nd other lea ding comrades prese nt guida nce allow s us t o warm appla use for t heir welcome and tha nks! Below, I first District Committee member of the 20XX team annual democratic meeting impl ementation of the corrective mea sures, a s well as member of the team and of my own report gui deline s for the impleme ntation of the independent Commissi on agai nst corr upti on stateme nt invited lea ders and comrades criticism. First, annual party on the 2 0XX team, Member of democratic life acti on pl an impleme ntation year 20XX, district democrati c meeting a member of the team on "study and practi ce the scie ntific Outlook on devel opment" theme , find a pr oje ct supporting strong enoug h, the i ndustry well enoug h, ur ban construction management level nee ds to be improve d, livelihood improveme nt nee ds to be str engt hene d, di strict team itself, such as the five as pects . Year of 20XX, we find out t he problems menti one d above, ba sed on a ctual S hunqing construction and devel opme nt, cons cienti ous ly sum up improveme nts, achievi ng significant devel opme nt results a nd effective ness of their work . (A) highlight the proje ct handle , maintain high growt h of investment . Adhere to the strategy as a Foundation, carryi ng out proje cts to promote i ncreas ed stamina im portant. One is to increase t he inte nsity of pr ojects t owards. Actively se ek national a nd pr ovincial policy s upport, superior s pe cial transfer payment s, a variety of additional income wil l top 70 0 million Yuan, a num ber of key infrastruct ure projects , livelihood proje cts, industri al proj ects i nto the cage. Second, increasi ng the proje ct attracts. Thi s year a total of 23 sig ned a maj or project, of which 14 billion project, Chi na Metallurgi cal group, va nke group, Guangdong heng da group, Ta iwan Rue ntex group, on the RI group, Shenz he n Kais a, jifeng agricultural machinery, M ercedes-Be nz, A udi 4S st ore and other large e nterpri ses and pr oject s have settle d in Shunqing. T hird, strengthe n pr oject construction. Annual implementation focus pr oject 3 9 a, fixed assets i nvestment total wi ll breakthr oug h 12 billion yuan, created distr ict yil ai history high, S out h door dam, and five in shop old city transformation, and Ying Chi na industrial conce ntrated dist ri ct construction, and city mai n road construction, and Nort heast steam Trade Ce nter, a nd moder n farmers industry Park, and vocatio nal education cit y, and low re ntal, and als o room constructi on, and feat ures bl ocks buil d, a nd farmers market transformation, a nd "rural versi on" Street transformation, focus engine ering s peed up implementation, effectivene ss obviousl y. Expe cted to be achieved t his year, are a-wi de G DP 17 billion

a

0.025 2 4 6

第 3 页 8 10 12


thrift of excellent traditi onal a nd style lack dee p of understa ndi ng, one -si ded t hink i n now of good s ituation Xi a, economic sm ooth more fast devel opme nt, and reform made major progres s, a nd people living significantly improve , and s ocial t he care er made new pr ogress, no ne cessary always ha rd has, no a warene ss to Chi na als o ha s many pove rty area, a nd al so has many poverty population of exists, m ore living impr ove ha s, more need ke ep hard of style . Thre e is not strictly honest. Total thought units i s a water se ctor, cle an s elf-dis cipline away from himself too far, no real pr oce ssing good living of impr ove and har d, and thrift excell ent traditional of relationshi p, no effective do comply with Constituti on a nd party of regulati ons must from I do up, no right mer cy good bitter Le, a nd wealt h of relati ons hip, no rig ht aware ness t o in comply with C onstitution and party of regulations as pect s everyone ha s accountability. Four, f uture directi on a nd impr ovement meas ures 1, belief a nd faith, strengthe n party s pirit. One i s to firmly establi sh t he noble ideal s of struggl e for the i deals of communism, com munist str uggle for life, ready t o sa crifice everyt hing for t he party a nd t he people. Se cond is t o conti nuously im prove the q uality and standard of political, cons cienti ously study Deng Xi aopi ng the ory and "three re present s" important t hought a nd the scientific Outl ook on development, im plement t he party's basi c pr ogram for the pr imary stage of s ociali sm, adhere to t he corre ct politi cal orientation, maintai n hig hly consistent w ith the CPC Ce ntral Committee, is good at t heorie s of socialism wit h Chine se characteri stics t o ana lyze and s olve pr oblem s. Third, strengt heni ng the party s pirit and the w orld tra nsformation, per severance of the party Constitution, relive Party vows t o establish corre ct worl d Outlook, Outlook on life and the worl d, pra ctically em bodies i deals and be liefs into action, combi ne l ofty ideals a nd practi cal activitie s, transformi ng the obj ective w orld, actively participate i n the great pra ctice of buil ding s ocialism with Chi nese chara cteristics. 2, kee p the purpose i n concept, cha nging the styl e of work. First, kee p in mi nd that the pur pose of servi ng, a dhere to a ssumi ng power for the people, kee p in mind the peo ple and care a bout pe ople, a nd t he joys a nd sorrows of the masse s, ... According to city dis cipli ne, and municipal organi zation Departme nt requireme nts, today we hel d "implement impl ementation independent Commissi on against corr upti on gui deli nes effective strengt heni ng led cadres style construction" topi c democratic life, main task i s cl ose conta ct thought, and work a ctual , control che ck distri ct Standi ng Committee team and the personal in im plementation independent Commissi on agai nst corr upti on guideli nes Shang exists of probl em, in-de pth carrie d out critici sm and self-criti cal, further clear re ctification dire ction and mea sures , effective enhanced cl ean politi cs of cons cious ness a nd i nitiative, firm set good of ruli ng image. Before t he meeting, t he way we take survey s soli cited a vie ws, combe d, related to team buil ding

实心球”的项目测试.成绩低于 6 米为不合格,成绩在 6 至 8 米(含 6 米不含 8 米)的为及 格,成绩在 8 米至 12 米(含 8 米和 12 米,假定该市初二学生掷实心球均不超过 12 米)为 优秀.把获得的所有数据,分成 [2, 4),[4,6),[6,8),[8,10),[10,12] 五组,画出的频率分布直 方图如图所示.已知有 4 名学生的成绩在 10 米到 12 米之间. (Ⅰ)求实数 a 的值及参加“掷实心球”项目 测试的人数; (Ⅱ)根据此次测试成绩的结果,试估计从该市初二年级男生中任意选取一人, “掷实心球” 成绩为优秀的概率; (Ⅲ)若从此次测试成绩不合格的男生中随机抽取 2 名学生再进行其它项目的测试,求所抽 取的 2 名学生来自不同组的概率. (17) (本小题满分 14 分) 如 图 , 已 知 四 边 形 ABCD 是 正 方 形 , EA ? 平 面 A B C D , PD

EA ,

AD ? PD ? 2 EA ? 2 , F , G , H 分别为 BP , BE , PC 的中点.
(Ⅰ)求证: FG 平面 PDE ; P

(Ⅱ)求证:平面 FGH ? 平面 AEB ; (Ⅲ)在线段 PC 上是否存在一点 M ,使 PB ? 平面 EFM ? 若存在,求出线段 PM 的长;若不存在,请说明理由. F E D G A B C H

(18) (本小题满分 13 分) 已知函数 f ( x) ?

ax ? a , g ( x) ? a ln x ? x ( a ? 0 ). x ?1
2

(Ⅰ)求函数 f ( x ) 的单调区间;

proje ct work, cadres , cadre s sele ction and ot her as pects of a total of 19, furt her defined t he dire ction of rectificati on, enhancing the perti nence and effectivene ss of democrati c life. 能 鉴 生 高 提 步 一 歌 诗 代 2古 修 必 是 图 意 置 设 元 单 本 。 受 美 审 富 丰 得 获 力 魅 术 艺 悟 析 赏 行 进 品 作 对 面 方 等 巧 技 现 表 、 容 内 从 习 学 , 上 础 基 的 知 感 体 整 在

Good for thi s meeting, we requested t he Standing Committee of the munici pal party Committee, munici pal Secretary General Ta ng Wenjin, t he City Commissi on for disci pli ne inspe ction Standi ng Committee Ya ng Xu, Jiang Jixue, D eputy Direct or of the personnel office, a nd other lea ding comrade s prese nt gui dance all ows us to warm a ppla use for their welcome a nd tha nks!

Below, I first District Committee member of the 20XX team annua l democratic meeti ng implementati on of the corrective meas ures, a s well as mem ber of the team a nd of my own report gui delines for the im plementation of the indepe nde nt Commission against corr upti on stateme nt invited lea ders a nd comrade s criticis m. First, annual party on t he 20 XX team, M ember of democratic life acti on pl an impl ementation year 20 XX, distri ct

democrati c meeting a mem ber of the team on "study and practi ce t he s cientific Outl ook on devel opment" theme, find a pr oject supporting strong e nough, t he industry well e nough, urba n constructi on ma nagement leve l nee ds t o be im proved, liveli hood impr ovement needs to be strengt hened, district team itse lf, such as t he five as pects . Year of 20 XX, w e find out t he probl ems menti one d above, based on act ual Shunqing construction and devel opme nt, conscie ntiously s um up improveme nts, a chievi ng sig nificant devel opment re sults and effectivenes s of their work. (A) highlight the project handle, mai ntain high gr owth of investment. A d here to t he strategy as a Foundati on, carrying out proje cts to promote increased stamina im portant. One is t o increase t he inte nsity of proje cts towards. Actively s eek nati onal and provi nci al policy support, superi or special tra nsfer pay ments, a variety of a dditi onal i ncome will t op 7 00 million Yuan, a num ber of key infrastructure proj ects, l ivelihood proje cts, i ndustrial proje cts int o the cage. Second, i ncreasi ng the pr oject attra cts. T his year a total of 23 sig ned a major proj ect, of whi ch 14 billion proje ct, China Metall urgical group, vanke gr oup, G uang dong he ngda gr oup, Taiwan Ruentex group, on the RI group, S henzhe n Kaisa, j ife ng agricult ural machi ner y, Mer cede s-Be nz, A udi 4S store and ot her large e nterpri ses a nd proj ects have s ettled i n Shunqing. Third, strengt hen proj ect construction . Annua l impleme ntation focus pr oje ct 39 a , fixed as sets inve stment total w ill bre akthrough 12 billion yua n, created district y ilai history high, S outh door dam, and five in shop ol d city tra nsformation, and Yi ng China industrial concentrated district construction, a nd city main r oad construction, a nd Nort heast steam Trade Ce nter, and modern farm ers i ndustry Park, and vocational educati on city, and low rental, and als o room constr ucti on, a nd features blocks buil d, a nd farmer s market transformati on, and "rural versi on" Street transformation, focus engine ering s peed up implementation, effectivene ss obviousl y. Expe cted to be achieved t his year, are a-wi de G DP 17 billion

thrift of excellent traditional a nd style la ck deep of understanding , one-side d think i n now of good situati on Xia, economic sm oot h more fast devel opment , and reform made major progress , and pe ople livi ng sig nificantly impr ove, a nd s ocial t he career made new pr ogress, no ne cessary al ways har d has, no aw arene ss to Chi na als o has ma ny poverty area , and als o has ma ny poverty populati on of exists , more living im prove ha s, more need ke ep hard of style. T hree i s not strictly honest . Total thoug ht units is a water s ector, cl ean s elf-di sci pline away from himself too far, no real process ing good living of improve and har d, and thrift excelle nt traditional of relati ons hip, no effective do comply with Constit ution and party of regul ations must from I do up, no right mercy g ood bitter Le , and wealth of relationshi p, no right aware nes s to in comply with Constitution and party of reg ula tions a spe cts everyone has accounta bility. Four, future directi on a nd im provement mea sures 1, beli ef and faith, strengthe n party spirit. One i s to firmly establi sh the noble i deals of struggle for t he idea ls of communi sm, communist str uggle for life, ready t o sacrifi ce everythi ng for the party and the people. Se cond i s to conti nuously im prove the qua lity and standard of political, cons cie ntiously study De ng Xia opi ng the ory and "three re prese nts" important t hought and the scie ntific Outlook on devel opme nt, impleme nt the party's ba sic program for the primary stage of sociali sm, a dhere to the correct political orie ntation, maintai n hig hly consistent wit h the CPC Central Committee, is g ood at the ories of s ocial ism with Chi nese chara cteristics to a nalyze a nd s olve pr oblem s. Third, strengtheni ng the party spirit a nd t he worl d transformati on, persevera nce of the party Constitution, relive Party vows t o establish correct w orld Outl ook , Outlook on life and t he worl d, pra ctically embodi es ide als and bel iefs into a ction, com bine l ofty ideals a nd practica l activities, tra nsforming the obj ective w orld, a ctively parti cipate in t he great practi ce of buildi ng s ociali sm with Chine se characteristi cs. 2 , keep the pur pose in conce pt, changi ng the s tyle of work. First, keep i n mind that the purpose of serving, a dhere to as suming power for the pe ople , keep in mi nd the pe ople a nd care about people, and the j oys and s orrows of the masse s, ... According to city dis cipli ne, and municipal organi zation Departme nt requireme nts, today we hel d "implement impl ementation independent Commissi on against corr upti on gui deli nes effective strengt heni ng led cadres style construction" topi c democratic life, main task i s cl ose conta ct thought, and work a ctual , control che ck distri ct Standi ng Committee team and the personal in im plementation independent Commissi on agai nst corr upti on guideli nes Shang exists of probl em, in-de pth carrie d out critici sm and self-criti cal, further clear re ctificatio n dire ction and mea sures , effective enhanced cl ean politi cs of cons cious ness a nd i nitiative, firm set good of ruli ng image. Before t he meeting, t he way we take survey s soli cited a vie ws, combe d, related to team buil ding

(Ⅱ)求证:当 a ? 0 时,对于任意 x1 , x2 ? ? 0,e? ,总有 g ( x1 ) ? f ( x2 ) 成立.

(19) (本小题满分 14 分) 已知椭圆 C :

x2 y 2 ? ? 1 ? a ? b ? 0? 的右焦点 F (1,0) ,长轴的左、右端点分别为 a 2 b2

A1, A2 ,且 FA1 ? FA2 ? ?1 .
(Ⅰ)求椭圆 C 的方程; (Ⅱ)过焦点 F 斜率为 k (k ? 0) 的直线 l 交椭圆 C 于 A, B 两点,弦 AB 的垂直平分线与 x 轴相交于点 D . 试问椭圆 C 上是否存在点 E 使得四边形 ADBE 为菱形?若存在,试 求点 E 到 y 轴的距离;若不存在,请说明理由.

(20) (本小题满分 13 分) 已 知 实 数 x1 , x2 ,

, xn ( n ? N? 且 n ? 2 ) 满 足 | xi ? | 1

?i ? 1,2, ???, n? , 记

S ( x1 , x2 ,

, xn ) ?

1?i ? j ?n

?

xi x j .

(Ⅰ)求 S ( ?1,1, ? ) 及 S (1,1, ?1, ?1) 的值; (Ⅱ)当 n ? 3 时,求 S ( x1 , x2 , x3 ) 的最小值; (Ⅲ)当 n 为奇数时,求 S ( x1 , x2 , 注:

2 3

, xn ) 的最小值.
j ? n )的乘积之和.

1?i ? j ? n

?

xi x j 表示 x1 , x2 ,

, xn 中任意两个数 xi , x j ( 1 ? i ?

proje ct work, ca dres, cadres sele ction and other a spe cts of a total of 19, furt her defined the directi on of rectification, enhancing t he perti nence a nd effectivene ss of democrati c life. 能 鉴 生 高 提 步 一 歌 诗 代 2古 修 必 是 图 意 置 设 元 单 本 。 受 美 审 富 丰 得 获 力 魅 术 艺 悟 析 赏 行 进 品 作 对 面 方 等 巧 技 现 表 、 容 内 从 习 学 , 上 础 基 的 知 感 体 整 在

Good for this meeti ng, we re queste d the Standing Committee of the munici pal party Committee, muni cipal S ecretary General Ta ng Wenji n, the City Commis sion for dis cipli ne inspection Standing Committee Ya ng Xu, Jiang Jixue, De puty Dire ctor of the pers onnel office, a nd other lea ding comrades prese nt guida nce allow s us t o warm appla use for t heir welcome and tha nks!

Below, I first District Committee member of the 20XX team annual democratic meeting impl ementation of the corrective mea sures, a s well as member of the team and of my own report gui deline s for the impleme ntation of the independent Commissi on agai nst corr upti on stateme nt invited lea ders and comrades criticism. First, annual party on the 2 0XX team, Member of democratic life acti on pl an impleme ntation year 20XX, district

democrati c meeting a member of the team on "study and practi ce the scie ntific Outlook on devel opment" theme , find a pr oje ct supporting strong enoug h, the i ndustry well enoug h, ur ban construction management level nee ds to be improve d, livelihood improveme nt nee ds to be str engt hene d, di strict team itself, such as the five as pects . Year of 20XX, we find out t he problems menti one d above, ba sed on a ctual S hunqing construction and devel opme nt, cons cienti ous ly sum up improveme nts, achievi ng significant devel opme nt results a nd effective ness of their work . (A) highlight the proje ct handle , maintain high growt h of investment . Adhere to the strategy as a Foundation, carryi ng out proje cts to promote i ncreas ed stamina im portant. One is to increase t he inte nsity of pr ojects t owards. Actively se ek national a nd pr ovincial policy s upport, superior s pe cial transfer payment s, a variety of additional income wil l top 70 0 million Yuan, a num ber of key infrastruct ure projects , livelihood proje cts, industri al proj ects i nto the cage. Second, increasi ng the proje ct attracts. Thi s year a total of 23 sig ned a maj or project, of which 14 billion project, Chi na Metallurgi cal group, va nke group, Guangdong heng da group, Ta iwan Rue ntex group, on the RI group, Shenz he n Kais a, jifeng agricultural machinery, M ercedes-Be nz, A udi 4S st ore and other large e nterpri ses and pr oject s have settle d in Shunqing. T hird, strengthe n pr oject construction. Annual implementation focus pr oject 3 9 a, fixed assets i nvestment total wi ll breakthr oug h 12 billion yuan, created distr ict yil ai history high, S out h door dam, and five in shop old city transformation, and Ying Chi na industrial conce ntrated dist ri ct construction, and city mai n road construction, and Nort heast steam Trade Ce nter, a nd moder n farmers industry Park, and vocatio nal education cit y, and low re ntal, and als o room constructi on, and feat ures bl ocks buil d, a nd farmers market transformation, a nd "rural versi on" Street transformation, focus engine ering s peed up implementation, effectivene ss obviousl y. Expe cted to be achieved t his year, are a-wi de G DP 17 billion

第 5 页

thrift of excellent traditi onal a nd style lack dee p of understa ndi ng, one -si ded t hink i n now of good s ituation Xi a, economic sm ooth more fast devel opme nt, and reform made major progres s, a nd people living significantly improve , and s ocial t he care er made new pr ogress, no ne cessary always ha rd has, no a warene ss to Chi na als o ha s many pove rty area, a nd al so has many poverty population of exists, m ore living impr ove ha s, more need ke ep hard of style . Thre e is not strictly honest. Total thought units i s a water se ctor, cle an s elf-dis cipline away from himself too far, no real pr oce ssing good living of impr ove and har d, and thrift excell ent traditional of relationshi p, no effective do comply with Constituti on a nd party of regulati ons must from I do up, no right mer cy good bitter Le, a nd wealt h of relati ons hip, no rig ht aware ness t o in comply with C onstitution and party of regulations as pect s everyone ha s accountability. Four, f uture directi on a nd impr ovement meas ures 1, belief a nd faith, strengthe n party s pirit. One i s to firmly establi sh t he noble ideal s of struggl e for the i deals of communism, com munist str uggle for life, ready t o sa crifice everyt hing for t he party a nd t he people. Se cond is t o conti nuously im prove the q uality and standard of political, cons cienti ously study Deng Xi aopi ng the ory and "three re present s" important t hought a nd the scientific Outl ook on development, im plement t he party's basi c pr ogram for the pr imary stage of s ociali sm, adhere to t he corre ct politi cal orientation, maintai n hig hly consistent w ith the CPC Ce ntral Committee, is good at t heorie s of socialism wit h Chine se characteri stics t o ana lyze and s olve pr oblem s. Third, strengt heni ng the party s pirit and the w orld tra nsformation, per severance of the party Constitution, relive Party vows t o establish corre ct worl d Outlook, Outlook on life and the worl d, pra ctically em bodies i deals and be liefs into action, combi ne l ofty ideals a nd practi cal activitie s, transformi ng the obj ective w orld, actively participate i n the great pra ctice of buil ding s ocialism with Chi nese chara cteristics. 2, kee p the purpose i n concept, cha nging the styl e of work. First, kee p in mi nd that the pur pose of servi ng, a dhere to a ssumi ng power for the people, kee p in mind the peo ple and care a bout pe ople, a nd t he joys a nd sorrows of the masse s, ... According to city dis cipli ne, and municipal organi zation Departme nt requireme nts, today we hel d "implement impl ementation independent Commissi on against corr upti on gui deli nes effective strengt heni ng led cadres style construction" topi c democratic life, main task i s cl ose conta ct thought, and work a ctual , control che ck distri ct Standi ng Committee team and the personal in im plementation independent Commissi on agai nst corr upti on guideli nes Shang exists of probl em, in-de pth carrie d out critici sm and self-criti cal, further clear re ctification dire ction and mea sures , effective enhanced cl ean politi cs of cons cious ness a nd i nitiative, firm set good of ruli ng image. Before t he meeting, t he way we take survey s soli cited a vie ws, combe d, related to team buil ding

北京市朝阳区高三年级第一次综合练习

数学学科测试答案(文史类)
一、选择题: 题号 答案 (1) D (2) A (10)
?1 或 3

2013.5

(3) B (11) 8;

(4) C

(5) B (12)

(6) C (13)

(7) A

(8) C (14) 63 ;

二、填空题: 题号 (9) 答案

2-i

? n 2 ? 9n n ? N?

x ? y ?3 ? 0

30

2

n ( n ?1) 2

?1

(注:两空的填空,第一空 3 分,第二空 2 分) 三、解答题: (15) (本小题满分 13 分)

A A A A ? sin ? sin 2 ? cos 2 ? sin A ? cos A ? 2 sin( A ? ) . 2 2 2 2 4 ? ? ?? 因为 0 ? A ? ? ,所以 ? ? A ? ? . 4 4 4 ? ? 3? 则所以当 A ? ? ,即 A ? 时, f ( A) 取得最大值,且最大值为 2 .……7 分 4 2 4 ? ? (Ⅱ)由题意知 f ( A) ? 2 sin( A ? ) ? 0 ,所以 sin( A ? ) ? 0 . 4 4 ? ? ?? ? ? 又知 ? ? A ? ? ,所以 A ? ? 0 ,则 A ? . 4 4 4 4 4 ?? 7? ? 因为 C ? ,所以 A ? B ? ,则 B ? . 12 12 3 ? 6 ? sin a b a sin B 3 ? 3. ? 由 得, b ? ……………………13 分 ? ? sin A sin B sin A sin 4
(Ⅰ) f ( A) ? 2 cos (16) (本小题满分 13 分) 解: (Ⅰ)由题意可知 (0.2 ? 0.15 ? 0.075 ? a ? 0.025) ? 2 ? 1 ,解得 a ? 0.05 . 所以此次测试总人数为

4 ? 40 . 0.05 ? 2
……………………4 分

答:此次参加“掷实心球”的项目测试的人数为 40 人.

(Ⅱ)由图可知,参加此次“掷实心球”的项目测试的初二男生,成绩优秀的频率为

(0.15 ? 0.05) ? 2 ? 0.4 ,则估计从该市初二年级男生中任意选取一人, “掷实心球”

proje ct work, cadres , cadre s sele ction and ot her as pects of a total of 19, furt her defined t he dire ction of rectificati on, enhancing the perti nence and effectivene ss of democrati c life. 能 鉴 生 高 提 步 一 歌 诗 代 2古 修 必 是 图 意 置 设 元 单 本 。 受 美 审 富 丰 得 获 力 魅 术 艺 悟 析 赏 行 进 品 作 对 面 方 等 巧 技 现 表 、 容 内 从 习 学 , 上 础 基 的 知 感 体 整 在

Good for thi s meeting, we requested t he Standing Committee of the munici pal party Committee, munici pal Secretary General Ta ng Wenjin, t he City Commissi on for disci pli ne inspe ction Standi ng Committee Ya ng Xu, Jiang Jixue, D eputy Direct or of the personnel office, a nd other lea ding comrade s prese nt gui dance all ows us to warm a ppla use for their welcome a nd tha nks!

Below, I first District Committee member of the 20XX team annua l democratic meeti ng implementati on of the corrective meas ures, a s well as mem ber of the team a nd of my own report gui delines for the im plementation of the indepe nde nt Commission against corr upti on stateme nt invited lea ders a nd comrade s criticis m. First, annual party on t he 20 XX team, M ember of democratic life acti on pl an impl ementation year 20 XX, distri ct

democrati c meeting a mem ber of the team on "study and practi ce t he s cientific Outl ook on devel opment" theme, find a pr oject supporting strong e nough, t he industry well e nough, urba n constructi on ma nagement leve l nee ds t o be im proved, liveli hood impr ovement needs to be strengt hened, district team itse lf, such as t he five as pects . Year of 20 XX, w e find out t he probl ems menti one d above, based on act ual Shunqing construction and devel opme nt, conscie ntiously s um up improveme nts, a chievi ng sig nificant devel opment re sults and effectivenes s of their work. (A) highlight the project handle, mai ntain high gr owth of investment. A d here to t he strategy as a Foundati on, carrying out proje cts to promote increased stamina im portant. One is t o increase t he inte nsity of proje cts towards. Actively s eek nati onal and provi nci al policy support, superi or special tra nsfer pay ments, a variety of a dditi onal i ncome will t op 7 00 million Yuan, a num ber of key infrastructure proj ects, l ivelihood proje cts, i ndustrial proje cts int o the cage. Second, i ncreasi ng the pr oject attra cts. T his year a total of 23 sig ned a major proj ect, of whi ch 14 billion proje ct, China Metall urgical group, vanke gr oup, G uang dong he ngda gr oup, Taiwan Ruentex group, on the RI group, S henzhe n Kaisa, j ife ng agricult ural machi ner y, Mer cede s-Be nz, A udi 4S store and ot her large e nterpri ses a nd proj ects have s ettled i n Shunqing. Third, strengt hen proj ect construction . Annua l impleme ntation focus pr oje ct 39 a , fixed as sets inve stment total w ill bre akthrough 12 billion yua n, created district y ilai history high, S outh door dam, and five in shop ol d city tra nsformation, and Yi ng China industrial concentrated district construction, a nd city main r oad construction, a nd Nort heast steam Trade Ce nter, and modern farm ers i ndustry Park, and vocational educati on city, and low rental, and als o room constr ucti on, a nd features blocks buil d, a nd farmer s market transformati on, and "rural versi on" Street transformation, focus engine ering s peed up implementation, effectivene ss obviousl y. Expe cted to be achieved t his year, are a-wi de G DP 17 billion

thrift of excellent traditional a nd style la ck deep of understanding , one-side d think i n now of good situati on Xia, economic sm oot h more fast devel opment , and reform made major progress , and pe ople livi ng sig nificantly impr ove, a nd s ocial t he career made new pr ogress, no ne cessary al ways har d has, no aw arene ss to Chi na als o has ma ny poverty area , and als o has ma ny poverty populati on of exists , more living im prove ha s, more need ke ep hard of style. T hree i s not strictly honest . Total thoug ht units is a water s ector, cl ean s elf-di sci pline away from himself too far, no real process ing good living of improve and har d, and thrift excelle nt traditional of relati ons hip, no effective do comply with Constit ution and party of regul ations must from I do up, no right mercy g ood bitter Le , and wealth of relationshi p, no right aware nes s to in comply with Constitution and party of reg ula tions a spe cts everyone has accounta bility. Four, future directi on a nd im provement mea sures 1, beli ef and faith, strengthe n party spirit. One i s to firmly establi sh the noble i deals of struggle for t he idea ls of communi sm, communist str uggle for life, ready t o sacrifi ce everythi ng for the party and the people. Se cond i s to conti nuously im prove the qua lity and standard of political, cons cie ntiously study De ng Xia opi ng the ory and "three re prese nts" important t hought and the scie ntific Outlook on devel opme nt, impleme nt the party's ba sic program for the primary stage of sociali sm, a dhere to the correct political orie ntation, maintai n hig hly consistent wit h the CPC Central Committee, is g ood at the ories of s ocial ism with Chi nese chara cteristics to a nalyze a nd s olve pr oblem s. Third, strengtheni ng the party spirit a nd t he worl d transformati on, persevera nce of the party Constitution, relive Party vows t o establish correct w orld Outl ook , Outlook on life and t he worl d, pra ctically embodi es ide als and bel iefs into a ction, com bine l ofty ideals a nd practica l activities, tra nsforming the obj ective w orld, a ctively parti cipate in t he great practi ce of buildi ng s ociali sm with Chine se characteristi cs. 2 , keep the pur pose in conce pt, changi ng the s tyle of work. First, keep i n mind that the purpose of serving, a dhere to as suming power for the pe ople , keep in mi nd the pe ople a nd care about people, and the j oys and s orrows of the masse s, ... According to city dis cipli ne, and municipal organi zation Departme nt requireme nts, today we hel d "implement impl ementation independent Commissi on against corr upti on gui deli nes effective strengt heni ng led cadres style construction" topi c democratic life, main task i s cl ose conta ct thought, and work a ctual , control che ck distri ct Standi ng Committee team and the personal in im plementation independent Commissi on agai nst corr upti on guideli nes Shang exists of probl em, in-de pth carrie d out critici sm and self-criti cal, further clear re ctificatio n dire ction and mea sures , effective enhanced cl ean politi cs of cons cious ness a nd i nitiative, firm set good of ruli ng image. Before t he meeting, t he way we take survey s soli cited a vie ws, combe d, related to team buil ding

成绩为优秀的概率为 0.4 .

……………………7 分

(Ⅲ)设事件 A:从此次测试成绩不合格的男生中随机抽取 2 名学生来自不同组. 由已知,测试成绩在 ? 2, 4 ? 有 2 人,记为 a , b ;在 ? 4,6 ? 有 6 人,记为 A, B, C, D, E, F . 从这 8 人中随机抽取 2 人有 ab, aA, aB, aC, aD, aE, aF , bA, bB, bC, bD, bE, bF ,

AB , AC , AD , A, E A ,F B , C ,B D , B E , B F, C D , C, E C ,F 共 D , E种情况. DF EF 28
事件 A 包括 aA, aB, aC, aD, aE, aF , bA, bB, bC, bD, bE, bF 共 12 种情况. 所以 P ( A) ?

12 3 ? . 28 7 3 . 7
……………………………13 分

答:随机抽取的 2 名学生来自不同组的概率为

(17) (本小题满分 14 分) (Ⅰ)证明:因为 F , G 分别为 PB , BE 的中点, 所以 FG

P

PE .

又因为 FG ? 平面 PED , PE ? 平面 PED , 所以 FG 平面 PED . ……………4 分 F E D G A 所以 FH 则 FH 而 FH B H M C

(Ⅱ)因为 EA ? 平面 ABCD ,所以 EA ? CB . 又因为 CB ? AB , AB 所以 CB ? 平面 ABE . 由已知 F , H 分别为线段 PB , PC 的中点,

AE ? A ,

BC .

? 平面 ABE . ? 平面 FGH ,
…………………………………………………9 分

所以平面 FGH ? 平面 ABE .

(Ⅲ)在线段 PC 上存在一点 M ,使 PB ? 平面 EFM .证明如下: 在直角三角形 AEB 中,因为 AE ? 1 , AB ? 2 ,所以 BE ? 5 . 在直角梯形 EADP 中,因为 AE ? 1 , AD ? PD ? 2 ,所以 PE ? 5 , 所以 PE ? BE .又因为 F 为 PB 的中点,所以 EF ? PB .

proje ct work, ca dres, cadres sele ction and other a spe cts of a total of 19, furt her defined the directi on of rectification, enhancing t he perti nence a nd effectivene ss of democrati c life. 能 鉴 生 高 提 步 一 歌 诗 代 2古 修 必 是 图 意 置 设 元 单 本 。 受 美 审 富 丰 得 获 力 魅 术 艺 悟 析 赏 行 进 品 作 对 面 方 等 巧 技 现 表 、 容 内 从 习 学 , 上 础 基 的 知 感 体 整 在

Good for this meeti ng, we re queste d the Standing Committee of the munici pal party Committee, muni cipal S ecretary General Ta ng Wenji n, the City Commis sion for dis cipli ne inspection Standing Committee Ya ng Xu, Jiang Jixue, De puty Dire ctor of the pers onnel office, a nd other lea ding comrades prese nt guida nce allow s us t o warm appla use for t heir welcome and tha nks!

Below, I first District Committee member of the 20XX team annual democratic meeting impl ementation of the corrective mea sures, a s well as member of the team and of my own report gui deline s for the impleme ntation of the independent Commissi on agai nst corr upti on stateme nt invited lea ders and comrades criticism. First, annual party on the 2 0XX team, Member of democratic life acti on pl an impleme ntation year 20XX, district

democrati c meeting a member of the team on "study and practi ce the scie ntific Outlook on devel opment" theme , find a pr oje ct supporting strong enoug h, the i ndustry well enoug h, ur ban construction management level nee ds to be improve d, livelihood improveme nt nee ds to be str engt hene d, di strict team itself, such as the five as pects . Year of 20XX, we find out t he problems menti one d above, ba sed on a ctual S hunqing construction and devel opme nt, cons cienti ous ly sum up improveme nts, achievi ng significant devel opme nt results a nd effective ness of their work . (A) highlight the proje ct handle , maintain high growt h of investment . Adhere to the strategy as a Foundation, carryi ng out proje cts to promote i ncreas ed stamina im portant. One is to increase t he inte nsity of pr ojects t owards. Actively se ek national a nd pr ovincial policy s upport, superior s pe cial transfer payment s, a variety of additional income wil l top 70 0 million Yuan, a num ber of key infrastruct ure projects , livelihood proje cts, industri al proj ects i nto the cage. Second, increasi ng the proje ct attracts. Thi s year a total of 23 sig ned a maj or project, of which 14 billion project, Chi na Metallurgi cal group, va nke group, Guangdong heng da group, Ta iwan Rue ntex group, on the RI group, Shenz he n Kais a, jifeng agricultural machinery, M ercedes-Be nz, A udi 4S st ore and other large e nterpri ses and pr oject s have settle d in Shunqing. T hird, strengthe n pr oject construction. Annual implementation focus pr oject 3 9 a, fixed assets i nvestment total wi ll breakthr oug h 12 billion yuan, created distr ict yil ai history high, S out h door dam, and five in shop old city transformation, and Ying Chi na industrial conce ntrated dist ri ct construction, and city mai n road construction, and Nort heast steam Trade Ce nter, a nd moder n farmers industry Park, and vocatio nal education cit y, and low re ntal, and als o room constructi on, and feat ures bl ocks buil d, a nd farmers market transformation, a nd "rural versi on" Street transformation, focus engine ering s peed up implementation, effectivene ss obviousl y. Expe cted to be achieved t his year, are a-wi de G DP 17 billion

第 7 页

thrift of excellent traditi onal a nd style lack dee p of understa ndi ng, one -si ded t hink i n now of good s ituation Xi a, economic sm ooth more fast devel opme nt, and reform made major progres s, a nd people living significantly improve , and s ocial t he care er made new pr ogress, no ne cessary always ha rd has, no a warene ss to Chi na als o ha s many pove rty area, a nd al so has many poverty population of exists, m ore living impr ove ha s, more need ke ep hard of style . Thre e is not strictly honest. Total thought units i s a water se ctor, cle an s elf-dis cipline away from himself too far, no real pr oce ssing good living of impr ove and har d, and thrift excell ent traditional of relationshi p, no effective do comply with Constituti on a nd party of regulati ons must from I do up, no right mer cy good bitter Le, a nd wealt h of relati ons hip, no rig ht aware ness t o in comply with C onstitution and party of regulations as pect s everyone ha s accountability. Four, f uture directi on a nd impr ovement meas ures 1, belief a nd faith, strengthe n party s pirit. One i s to firmly establi sh t he noble ideal s of struggl e for the i deals of communism, com munist str uggle for life, ready t o sa crifice everyt hing for t he party a nd t he people. Se cond is t o conti nuously im prove the q uality and standard of political, cons cienti ously study Deng Xi aopi ng the ory and "three re present s" important t hought a nd the scientific Outl ook on development, im plement t he party's basi c pr ogram for the pr imary stage of s ociali sm, adhere to t he corre ct politi cal orientation, maintai n hig hly consistent w ith the CPC Ce ntral Committee, is good at t heorie s of socialism wit h Chine se characteri stics t o ana lyze and s olve pr oblem s. Third, strengt heni ng the party s pirit and the w orld tra nsformation, per severance of the party Constitution, relive Party vows t o establish corre ct worl d Outlook, Outlook on life and the worl d, pra ctically em bodies i deals and be liefs into action, combi ne l ofty ideals a nd practi cal activitie s, transformi ng the obj ective w orld, actively participate i n the great pra ctice of buil ding s ocialism with Chi nese chara cteristics. 2, kee p the purpose i n concept, cha nging the styl e of work. First, kee p in mi nd that the pur pose of servi ng, a dhere to a ssumi ng power for the people, kee p in mind the peo ple and care a bout pe ople, a nd t he joys a nd sorrows of the masse s, ... According to city dis cipli ne, and municipal organi zation Departme nt requireme nts, today we hel d "implement impl ementation independent Commissi on against corr upti on gui deli nes effective strengt heni ng led cadres style construction" topi c democratic life, main task i s cl ose conta ct thought, and work a ctual , control che ck distri ct Standi ng Committee team and the personal in im plementation independent Commissi on agai nst corr upti on guideli nes Shang exists of probl em, in-de pth carrie d out critici sm and self-criti cal, further clear re ctification dire ction and mea sures , effective enhanced cl ean politi cs of cons cious ness a nd i nitiative, firm set good of ruli ng image. Before t he meeting, t he way we take survey s soli cited a vie ws, combe d, related to team buil ding

要使 PB ? 平面 EFM ,只需使 PB ? FM . 因为 PD ? 平面 ABCD ,所以 PD ? CB ,又因为 CB ? CD , PD 所以 CB ? 平面 PCD ,而 PC ? 平面 PCD ,所以 CB ? PC . 若 PB ? FM ,则 ?PFM ∽ ?PCB ,可得

CD ? D ,

PM PF ? . PB PC

由已知可求得 PB ? 2 3 , PF ? 3 , PC ? 2 2 ,所以 PM ? (18) (本小题满分 13 分) 解: (Ⅰ)函数 f ( x ) 的定义域为 R ,

3 2 .……14 分 2

f ?( x) ?

a(1 ? x2 ) a(1 ? x)(1 ? x) . ? ( x2 ? 1)2 ( x2 ? 1)2

当 a ? 0 时, 当 x 变化时, f ?( x ) , f ( x ) 的变化情况如下表:

x
f ?( x ) f ( x)
当 a ? 0 时,

(??, ?1)

?1
0

(?1,1)

1
0

(1, ??)

?


?


?


当 x 变化时, f ?( x ) , f ( x ) 的变化情况如下表:

x
f ?( x ) f ( x)
综上所述,

(??, ?1)

?1
0

(?1,1)

1
0

(1, ??)

?


?


?


当 a ? 0 时, f ( x ) 的单调递增区间为 (?1,1) ,单调递减区间为 (??, ?1) , (1, ??) ; 当 a ? 0 时, f ( x ) 的单调递增区间为 (??, ?1) , (1, ??) ,单调递减区间为 (?1,1) . ……………………………………5 分

proje ct work, cadres , cadre s sele ction and ot her as pects of a total of 19, furt her defined t he dire ction of rectificati on, enhancing the perti nence and effectivene ss of democrati c life. 能 鉴 生 高 提 步 一 歌 诗 代 2古 修 必 是 图 意 置 设 元 单 本 。 受 美 审 富 丰 得 获 力 魅 术 艺 悟 析 赏 行 进 品 作 对 面 方 等 巧 技 现 表 、 容 内 从 习 学 , 上 础 基 的 知 感 体 整 在

Good for thi s meeting, we requested t he Standing Committee of the munici pal party Committee, munici pal Secretary General Ta ng Wenjin, t he City Commissi on for disci pli ne inspe ction Standi ng Committee Ya ng Xu, Jiang Jixue, D eputy Direct or of the personnel office, a nd other lea ding comrade s prese nt gui dance all ows us to warm a ppla use for their welcome a nd tha nks!

Below, I first District Committee member of the 20XX team annua l democratic meeti ng implementati on of the corrective meas ures, a s well as mem ber of the team a nd of my own report gui delines for the im plementation of the indepe nde nt Commission against corr upti on stateme nt invited lea ders a nd comrade s criticis m. First, annual party on t he 20 XX team, M ember of democratic life acti on pl an impl ementation year 20 XX, distri ct

democrati c meeting a mem ber of the team on "study and practi ce t he s cientific Outl ook on devel opment" theme, find a pr oject supporting strong e nough, t he industry well e nough, urba n constructi on ma nagement leve l nee ds t o be im proved, liveli hood impr ovement needs to be strengt hened, district team itse lf, such as t he five as pects . Year of 20 XX, w e find out t he probl ems menti one d above, based on act ual Shunqing construction and devel opme nt, conscie ntiously s um up improveme nts, a chievi ng sig nificant devel opment re sults and effectivenes s of their work. (A) highlight the project handle, mai ntain high gr owth of investment. A d here to t he strategy as a Foundati on, carrying out proje cts to promote increased stamina im portant. One is t o increase t he inte nsity of proje cts towards. Actively s eek nati onal and provi nci al policy support, superi or special tra nsfer pay ments, a variety of a dditi onal i ncome will t op 7 00 million Yuan, a num ber of key infrastructure proj ects, l ivelihood proje cts, i ndustrial proje cts int o the cage. Second, i ncreasi ng the pr oject attra cts. T his year a total of 23 sig ned a major proj ect, of whi ch 14 billion proje ct, China Metall urgical group, vanke gr oup, G uang dong he ngda gr oup, Taiwan Ruentex group, on the RI group, S henzhe n Kaisa, j ife ng agricult ural machi ner y, Mer cede s-Be nz, A udi 4S store and ot her large e nterpri ses a nd proj ects have s ettled i n Shunqing. Third, strengt hen proj ect construction . Annua l impleme ntation focus pr oje ct 39 a , fixed as sets inve stment total w ill bre akthrough 12 billion yua n, created district y ilai history high, S outh door dam, and five in shop ol d city tra nsformation, and Yi ng China industrial concentrated district construction, a nd city main r oad construction, a nd Nort heast steam Trade Ce nter, and modern farm ers i ndustry Park, and vocational educati on city, and low rental, and als o room constr ucti on, a nd features blocks buil d, a nd farmer s market transformati on, and "rural versi on" Street transformation, focus engine ering s peed up implementation, effectivene ss obviousl y. Expe cted to be achieved t his year, are a-wi de G DP 17 billion

thrift of excellent traditional a nd style la ck deep of understanding , one-side d think i n now of good situati on Xia, economic sm oot h more fast devel opment , and reform made major progress , and pe ople livi ng sig nificantly impr ove, a nd s ocial t he career made new pr ogress, no ne cessary al ways har d has, no aw arene ss to Chi na als o has ma ny poverty area , and als o has ma ny poverty populati on of exists , more living im prove ha s, more need ke ep hard of style. T hree i s not strictly honest . Total thoug ht units is a water s ector, cl ean s elf-di sci pline away from himself too far, no real process ing good living of improve and har d, and thrift excelle nt traditional of relati ons hip, no effective do comply with Constit ution and party of regul ations must from I do up, no right mercy g ood bitter Le , and wealth of relationshi p, no right aware nes s to in comply with Constitution and party of reg ula tions a spe cts everyone has accounta bility. Four, future directi on a nd im provement mea sures 1, beli ef and faith, strengthe n party spirit. One i s to firmly establi sh the noble i deals of struggle for t he idea ls of communi sm, communist str uggle for life, ready t o sacrifi ce everythi ng for the party and the people. Se cond i s to conti nuously im prove the qua lity and standard of political, cons cie ntiously study De ng Xia opi ng the ory and "three re prese nts" important t hought and the scie ntific Outlook on devel opme nt, impleme nt the party's ba sic program for the primary stage of sociali sm, a dhere to the correct political orie ntation, maintai n hig hly consistent wit h the CPC Central Committee, is g ood at the ories of s ocial ism with Chi nese chara cteristics to a nalyze a nd s olve pr oblem s. Third, strengtheni ng the party spirit a nd t he worl d transformati on, persevera nce of the party Constitution, relive Party vows t o establish correct w orld Outl ook , Outlook on life and t he worl d, pra ctically embodi es ide als and bel iefs into a ction, com bine l ofty ideals a nd practica l activities, tra nsforming the obj ective w orld, a ctively parti cipate in t he great practi ce of buildi ng s ociali sm with Chine se characteristi cs. 2 , keep the pur pose in conce pt, changi ng the s tyle of work. First, keep i n mind that the purpose of serving, a dhere to as suming power for the pe ople , keep in mi nd the pe ople a nd care about people, and the j oys and s orrows of the masse s, ... According to city dis cipli ne, and municipal organi zation Departme nt requireme nts, today we hel d "implement impl ementation independent Commissi on against corr upti on gui deli nes effective strengt heni ng led cadres style construction" topi c democratic life, main task i s cl ose conta ct thought, and work a ctual , control che ck distri ct Standi ng Committee team and the personal in im plementation independent Commissi on agai nst corr upti on guideli nes Shang exists of probl em, in-de pth carrie d out critici sm and self-criti cal, further clear re ctificatio n dire ction and mea sures , effective enhanced cl ean politi cs of cons cious ness a nd i nitiative, firm set good of ruli ng image. Before t he meeting, t he way we take survey s soli cited a vie ws, combe d, related to team buil ding

(Ⅱ)由(Ⅰ)可知,当 a ? 0 时,

f ( x) 在 (0, 1) 上 单 调 递 增 , f ( x) ? f (0) ; f ( x) 在 (1, e] 上 单 调 递 减 , 且
f(e) ? ae ?a ?a. e ?1
2

所以 x ? (0, e] 时, f ( x) ? a . 因为 g ( x) ? a ln x ? x ,所以 g ?( x ) ? 令 g ?( x) ? 0 ,得 x ? a . ①当 0 ? a ? e 时,由 g ?( x) > 0 ,得 0 ? x ? a ;由 g ?( x) < 0 ,得 x ? a , 所以函数 g ( x) 在 (0, a ) 上单调递增,在 ( a, e] 上单调递减. 所以 g ( x)max ? g (a) ? a ln a ? a . 因为 a ? (a ln a ? a) ? a(2 ? ln a) ? a(2 ? ln e) ? a ? 0 , 所以对于任意 x1 , x2 ? ? 0,e? ,总有 g ( x1 ) ? f ( x2 ) . ②当 a ? e 时, g ?( x) ? 0 在 (0, e] 上恒成立, 所以函数 g ( x) 在 (0, e] 上单调递增, g ( x)max ? g (e) ? a ? e < a . 所以对于任意 x1 , x2 ? ? 0,e? ,仍有 g ( x1 ) ? f ( x2 ) . 综上所述,对于任意 x1 , x2 ? ? 0,e? ,总有 g ( x1 ) ? f ( x2 ) . (19) (本小题满分 14 分) 解:(Ⅰ)依题设 A1 (?a, 0) , A2 (a,0) ,则 FA 1 ? (?a ? 1,0) , FA 2 ? (a ?1,0) . 由 FA 1 ? FA 2 ? ?1,解得 a ? 2 ,所以 b ? 1 .
2 2

a ? 1, x

…………………13 分

所以椭圆 C 的方程为

x2 ? y 2 ? 1. 2

…………………………………………4 分

(Ⅱ)依题直线 l 的方程为 y ? k ( x ? 1) .

proje ct work, ca dres, cadres sele ction and other a spe cts of a total of 19, furt her defined the directi on of rectification, enhancing t he perti nence a nd effectivene ss of democrati c life. 能 鉴 生 高 提 步 一 歌 诗 代 2古 修 必 是 图 意 置 设 元 单 本 。 受 美 审 富 丰 得 获 力 魅 术 艺 悟 析 赏 行 进 品 作 对 面 方 等 巧 技 现 表 、 容 内 从 习 学 , 上 础 基 的 知 感 体 整 在

Good for this meeti ng, we re queste d the Standing Committee of the munici pal party Committee, muni cipal S ecretary General Ta ng Wenji n, the City Commis sion for dis cipli ne inspection Standing Committee Ya ng Xu, Jiang Jixue, De puty Dire ctor of the pers onnel office, a nd other lea ding comrades prese nt guida nce allow s us t o warm appla use for t heir welcome and tha nks!

Below, I first District Committee member of the 20XX team annual democratic meeting impl ementation of the corrective mea sures, a s well as member of the team and of my own report gui deline s for the impleme ntation of the independent Commissi on agai nst corr upti on stateme nt invited lea ders and comrades criticism. First, annual party on the 2 0XX team, Member of democratic life acti on pl an impleme ntation year 20XX, district

democrati c meeting a member of the team on "study and practi ce the scie ntific Outlook on devel opment" theme , find a pr oje ct supporting strong enoug h, the i ndustry well enoug h, ur ban construction management level nee ds to be improve d, livelihood improveme nt nee ds to be str engt hene d, di strict team itself, such as the five as pects . Year of 20XX, we find out t he problems menti one d above, ba sed on a ctual S hunqing construction and devel opme nt, cons cienti ous ly sum up improveme nts, achievi ng significant devel opme nt results a nd effective ness of their work . (A) highlight the proje ct handle , maintain high growt h of investment . Adhere to the strategy as a Foundation, carryi ng out proje cts to promote i ncreas ed stamina im portant. One is to increase t he inte nsity of pr ojects t owards. Actively se ek national a nd pr ovincial policy s upport, superior s pe cial transfer payment s, a variety of additional income wil l top 70 0 million Yuan, a num ber of key infrastruct ure projects , livelihood proje cts, industri al proj ects i nto the cage. Second, increasi ng the proje ct attracts. Thi s year a total of 23 sig ned a maj or project, of which 14 billion project, Chi na Metallurgi cal group, va nke group, Guangdong heng da group, Ta iwan Rue ntex group, on the RI group, Shenz he n Kais a, jifeng agricultural machinery, M ercedes-Be nz, A udi 4S st ore and other large e nterpri ses and pr oject s have settle d in Shunqing. T hird, strengthe n pr oject construction. Annual implementation focus pr oject 3 9 a, fixed assets i nvestment total wi ll breakthr oug h 12 billion yuan, created distr ict yil ai history high, S out h door dam, and five in shop old city transformation, and Ying Chi na industrial conce ntrated dist ri ct construction, and city mai n road construction, and Nort heast steam Trade Ce nter, a nd moder n farmers industry Park, and vocatio nal education cit y, and low re ntal, and als o room constructi on, and feat ures bl ocks buil d, a nd farmers market transformation, a nd "rural versi on" Street transformation, focus engine ering s peed up implementation, effectivene ss obviousl y. Expe cted to be achieved t his year, are a-wi de G DP 17 billion

第 9 页

thrift of excellent traditi onal a nd style lack dee p of understa ndi ng, one -si ded t hink i n now of good s ituation Xi a, economic sm ooth more fast devel opme nt, and reform made major progres s, a nd people living significantly improve , and s ocial t he care er made new pr ogress, no ne cessary always ha rd has, no a warene ss to Chi na als o ha s many pove rty area, a nd al so has many poverty population of exists, m ore living impr ove ha s, more need ke ep hard of style . Thre e is not strictly honest. Total thought units i s a water se ctor, cle an s elf-dis cipline away from himself too far, no real pr oce ssing good living of impr ove and har d, and thrift excell ent traditional of relationshi p, no effective do comply with Constituti on a nd party of regulati ons must from I do up, no right mer cy good bitter Le, a nd wealt h of relati ons hip, no rig ht aware ness t o in comply with C onstitution and party of regulations as pect s everyone ha s accountability. Four, f uture directi on a nd impr ovement meas ures 1, belief a nd faith, strengthe n party s pirit. One i s to firmly establi sh t he noble ideal s of struggl e for the i deals of communism, com munist str uggle for life, ready t o sa crifice everyt hing for t he party a nd t he people. Se cond is t o conti nuously im prove the q uality and standard of political, cons cienti ously study Deng Xi aopi ng the ory and "three re present s" important t hought a nd the scientific Outl ook on development, im plement t he party's basi c pr ogram for the pr imary stage of s ociali sm, adhere to t he corre ct politi cal orientation, maintai n hig hly consistent w ith the CPC Ce ntral Committee, is good at t heorie s of socialism wit h Chine se characteri stics t o ana lyze and s olve pr oblem s. Third, strengt heni ng the party s pirit and the w orld tra nsformation, per severance of the party Constitution, relive Party vows t o establish corre ct worl d Outlook, Outlook on life and the worl d, pra ctically em bodies i deals and be liefs into action, combi ne l ofty ideals a nd practi cal activitie s, transformi ng the obj ective w orld, actively participate i n the great pra ctice of buil ding s ocialism with Chi nese chara cteristics. 2, kee p the purpose i n concept, cha nging the styl e of work. First, kee p in mi nd that the pur pose of servi ng, a dhere to a ssumi ng power for the people, kee p in mind the peo ple and care a bout pe ople, a nd t he joys a nd sorrows of the masse s, ... According to city dis cipli ne, and municipal organi zation Departme nt requireme nts, today we hel d "implement impl ementation independent Commissi on against corr upti on gui deli nes effective strengt heni ng led cadres style construction" topi c democratic life, main task i s cl ose conta ct thought, and work a ctual , control che ck distri ct Standi ng Committee team and the personal in im plementation independent Commissi on agai nst corr upti on guideli nes Shang exists of probl em, in-de pth carrie d out critici sm and self-criti cal, further clear re ctification dire ction and mea sures , effective enhanced cl ean politi cs of cons cious ness a nd i nitiative, firm set good of ruli ng image. Before t he meeting, t he way we take survey s soli cited a vie ws, combe d, related to team buil ding

由?

? y ? k ( x ? 1), 2 2 2 2 得 ? 2k ? 1? x ? 4k x ? 2k ? 2 ? 0 . 2 2 x ? 2 y ? 2 ?

设 A( x1, y1 ) , B( x2 , y2 ) ,弦 AB 的中点为 M ( x0 , y0 ) , 则 x1 ? x2 ?

?k 4k 2 2(k 2 ? 1) 2k 2 x x ? x ? , , , y0 ? , 1 2 0 2 2 2 2k 2 ? 1 2k ? 1 2k ? 1 2k ? 1

所以 M (

2k 2 ?k , 2 ). 2 2k ? 1 2k ? 1 1 2k 2 ? ? ( x ? ), 2k 2 ? 1 k 2k 2 ? 1 k

直线 MD 的方程为 y ?

令 y ? 0 ,得 xD ?

k2 k2 D ( ,0) . ,则 2k 2 ? 1 2k 2 ? 1

若四边形 ADBE 为菱形,则 xE ? xD ? 2x0 , yE ? yD ? 2 y0 . 所以 E (

3k 2 ?2k , 2 ). 2 2k ? 1 2k ? 1 3k 2 2 ?2k ) ? 2( 2 )2 ? 2 . 2 2k ? 1 2k ? 1

若点 E 在椭圆 C 上,则 (
4

整理得 k ? 2 ,解得 k ?
2

2 .所以椭圆 C 上存在点 E 使得四边形 ADBE 为菱形.

此时点 E 到 y 的距离为

12 ? 3 2 . ………………………………………………14 分 7

(20) (本小题满分 13 分) 解: (Ⅰ)由已知得 S (?1,1, ? ) ? ?1 ?

2 3

2 2 ? ? ?1 . 3 3
………………………3 分

S (1,1, ?1, ?1) ? 1 ?1 ?1 ?1 ?1 ? 1 ? ?2 .
(Ⅱ) n ? 3 时, S ? S ( x1 , x2 , x3 ) ?
1?i ? j ?3

?

xi x j ? x1x2 ? x1 x3 ? x2 x3 .

固定 x2 , x3 ,仅让 x1 变动,那么 S 是 x1 的一次函数或常函数, 因此 S ? min{S (1, x2 , x3 ), S (?1, x2 , x3 )} .

proje ct work, cadres , cadre s sele ction and ot her as pects of a total of 19, furt her defined t he dire ction of rectificati on, enhancing the perti nence and effectivene ss of democrati c life. 能 鉴 生 高 提 步 一 歌 诗 代 2古 修 必 是 图 意 置 设 元 单 本 。 受 美 审 富 丰 得 获 力 魅 术 艺 悟 析 赏 行 进 品 作 对 面 方 等 巧 技 现 表 、 容 内 从 习 学 , 上 础 基 的 知 感 体 整 在

Good for thi s meeting, we requested t he Standing Committee of the munici pal party Committee, munici pal Secretary General Ta ng Wenjin, t he City Commissi on for disci pli ne inspe ction Standi ng Committee Ya ng Xu, Jiang Jixue, D eputy Direct or of the personnel office, a nd other lea ding comrade s prese nt gui dance all ows us to warm a ppla use for their welcome a nd tha nks!

Below, I first District Committee member of the 20XX team annua l democratic meeti ng implementati on of the corrective meas ures, a s well as mem ber of the team a nd of my own report gui delines for the im plementation of the indepe nde nt Commission against corr upti on stateme nt invited lea ders a nd comrade s criticis m. First, annual party on t he 20 XX team, M ember of democratic life acti on pl an impl ementation year 20 XX, distri ct

democrati c meeting a mem ber of the team on "study and practi ce t he s cientific Outl ook on devel opment" theme, find a pr oject supporting strong e nough, t he industry well e nough, urba n constructi on ma nagement leve l nee ds t o be im proved, liveli hood impr ovement needs to be strengt hened, district team itse lf, such as t he five as pects . Year of 20 XX, w e find out t he probl ems menti one d above, based on act ual Shunqing construction and devel opme nt, conscie ntiously s um up improveme nts, a chievi ng sig nificant devel opment re sults and effectivenes s of their work. (A) highlight the project handle, mai ntain high gr owth of investment. A d here to t he strategy as a Foundati on, carrying out proje cts to promote increased stamina im portant. One is t o increase t he inte nsity of proje cts towards. Actively s eek nati onal and provi nci al policy support, superi or special tra nsfer pay ments, a variety of a dditi onal i ncome will t op 7 00 million Yuan, a num ber of key infrastructure proj ects, l ivelihood proje cts, i ndustrial proje cts int o the cage. Second, i ncreasi ng the pr oject attra cts. T his year a total of 23 sig ned a major proj ect, of whi ch 14 billion proje ct, China Metall urgical group, vanke gr oup, G uang dong he ngda gr oup, Taiwan Ruentex group, on the RI group, S henzhe n Kaisa, j ife ng agricult ural machi ner y, Mer cede s-Be nz, A udi 4S store and ot her large e nterpri ses a nd proj ects have s ettled i n Shunqing. Third, strengt hen proj ect construction . Annua l impleme ntation focus pr oje ct 39 a , fixed as sets inve stment total w ill bre akthrough 12 billion yua n, created district y ilai history high, S outh door dam, and five in shop ol d city tra nsformation, and Yi ng China industrial concentrated district construction, a nd city main r oad construction, a nd Nort heast steam Trade Ce nter, and modern farm ers i ndustry Park, and vocational educati on city, and low rental, and als o room constr ucti on, a nd features blocks buil d, a nd farmer s market transformati on, and "rural versi on" Street transformation, focus engine ering s peed up implementation, effectivene ss obviousl y. Expe cted to be achieved t his year, are a-wi de G DP 17 billion

thrift of excellent traditional a nd style la ck deep of understanding , one-side d think i n now of good situati on Xia, economic sm oot h more fast devel opment , and reform made major progress , and pe ople livi ng sig nificantly impr ove, a nd s ocial t he career made new pr ogress, no ne cessary al ways har d has, no aw arene ss to Chi na als o has ma ny poverty area , and als o has ma ny poverty populati on of exists , more living im prove ha s, more need ke ep hard of style. T hree i s not strictly honest . Total thoug ht units is a water s ector, cl ean s elf-di sci pline away from himself too far, no real process ing good living of improve and har d, and thrift excelle nt traditional of relati ons hip, no effective do comply with Constit ution and party of regul ations must from I do up, no right mercy g ood bitter Le , and wealth of relationshi p, no right aware nes s to in comply with Constitution and party of reg ula tions a spe cts everyone has accounta bility. Four, future directi on a nd im provement mea sures 1, beli ef and faith, strengthe n party spirit. One i s to firmly establi sh the noble i deals of struggle for t he idea ls of communi sm, communist str uggle for life, ready t o sacrifi ce everythi ng for the party and the people. Se cond i s to conti nuously im prove the qua lity and standard of political, cons cie ntiously study De ng Xia opi ng the ory and "three re prese nts" important t hought and the scie ntific Outlook on devel opme nt, impleme nt the party's ba sic program for the primary stage of sociali sm, a dhere to the correct political orie ntation, maintai n hig hly consistent wit h the CPC Central Committee, is g ood at the ories of s ocial ism with Chi nese chara cteristics to a nalyze a nd s olve pr oblem s. Third, strengtheni ng the party spirit a nd t he worl d transformati on, persevera nce of the party Constitution, relive Party vows t o establish correct w orld Outl ook , Outlook on life and t he worl d, pra ctically embodi es ide als and bel iefs into a ction, com bine l ofty ideals a nd practica l activities, tra nsforming the obj ective w orld, a ctively parti cipate in t he great practi ce of buildi ng s ociali sm with Chine se characteristi cs. 2 , keep the pur pose in conce pt, changi ng the s tyle of work. First, keep i n mind that the purpose of serving, a dhere to as suming power for the pe ople , keep in mi nd the pe ople a nd care about people, and the j oys and s orrows of the masse s, ... According to city dis cipli ne, and municipal organi zation Departme nt requireme nts, today we hel d "implement impl ementation independent Commissi on against corr upti on gui deli nes effective strengt heni ng led cadres style construction" topi c democratic life, main task i s cl ose conta ct thought, and work a ctual , control che ck distri ct Standi ng Committee team and the personal in im plementation independent Commissi on agai nst corr upti on guideli nes Shang exists of probl em, in-de pth carrie d out critici sm and self-criti cal, further clear re ctificatio n dire ction and mea sures , effective enhanced cl ean politi cs of cons cious ness a nd i nitiative, firm set good of ruli ng image. Before t he meeting, t he way we take survey s soli cited a vie ws, combe d, related to team buil ding

同理 S (1, x2 , x3 ) ? min{S (1,1, x3 ), S (1, ?1, x3 )} .

S (?1, x2 , x3 ) ? min{S (?1,1, x3 ), S (?1, ?1, x3 )} .
以此类推,我们可以看出, S 的最小值必定可以被某一组取值 ?1 的 x1 , x2 , x3 所达到, 于是 S ? min{S ( x1 , x2 , x3 )} .
xk ??1 k ?1,2,3

当 xk ? ?1( k ? 1, 2,3 )时,

1 2 2 S ? [( x1 ? x2 ? x3 ) 2 ? ( x12 ? x2 ? x3 )] 2 1 3 ? ( x1 ? x2 ? x3 )2 ? . 2 2
因为 | x1 ? x2 ? x3 |? 1 , 所以 S ?

1 3 ? ? ?1 ,且当 x1 ? x2 ? 1, x3 ? ?1 ,时 S ? ?1 , 2 2
……………………………………………7 分

因此 Smin ? ?1. (Ⅲ) S ? S ( x1 , x2 ,

, xn ) ?

1?i ? j ?n

?

xi x j
? x2 xn ? ? xn?1xn .

? x1x2 ? x1x3 ?
固定 x2 , x3 ,

? x1 xn ? x2 x3 ?

, xn ,仅让 x1 变动,那么 S 是 x1 的一次函数或常函数, , xn ), S (?1, x2 , x3 , , xn )}. , xn )} . , xn )} . , xn 所达到,

因此 S ? min{S (1, x2 , x3 , 同理 S (1, x2 , x3 ,

, xn ) ? min{S (1,1, x3 ,

, xn ), S (1, ?1, x3 , , xn ), S (?1, ?1, x3 ,

S (?1, x2 , x3 ,

, xn ) ? min{S (?1,1, x3 ,

以此类推, 我们可以看出,S 的最小值必定可以被某一组取值 ?1 的 x1 , x2 , 于是 S ? min {S ( x1 , x2 ,
xk ??1 k ?1,2, , n

, xn )} .

当 xk ? ?1( k ? 1, 2,

, n )时,
2 ? xn )]

1 2 S ? [( x1 ? x2 ? ? xn ) 2 ? ( x12 ? x2 ? 2 1 n ? ( x1 ? x2 ? ? xn ) 2 ? . 2 2

proje ct work, ca dres, cadres sele ction and other a spe cts of a total of 19, furt her defined the directi on of rectification, enhancing t he perti nence a nd effectivene ss of democrati c life. 能 鉴 生 高 提 步 一 歌 诗 代 2古 修 必 是 图 意 置 设 元 单 本 。 受 美 审 富 丰 得 获 力 魅 术 艺 悟 析 赏 行 进 品 作 对 面 方 等 巧 技 现 表 、 容 内 从 习 学 , 上 础 基 的 知 感 体 整 在

Good for this meeti ng, we re queste d the Standing Committee of the munici pal party Committee, muni cipal S ecretary General Ta ng Wenji n, the City Commis sion for dis cipli ne inspection Standing Committee Ya ng Xu, Jiang Jixue, De puty Dire ctor of the pers onnel office, a nd other lea ding comrades prese nt guida nce allow s us t o warm appla use for t heir welcome and tha nks!

Below, I first District Committee member of the 20XX team annual democratic meeting impl ementation of the corrective mea sures, a s well as member of the team and of my own report gui deline s for the impleme ntation of the independent Commissi on agai nst corr upti on stateme nt invited lea ders and comrades criticism. First, annual party on the 2 0XX team, Member of democratic life acti on pl an impleme ntation year 20XX, district

democrati c meeting a member of the team on "study and practi ce the scie ntific Outlook on devel opment" theme , find a pr oje ct supporting strong enoug h, the i ndustry well enoug h, ur ban construction management level nee ds to be improve d, livelihood improveme nt nee ds to be str engt hene d, di strict team itself, such as the five as pects . Year of 20XX, we find out t he problems menti one d above, ba sed on a ctual S hunqing construction and devel opme nt, cons cienti ous ly sum up improveme nts, achievi ng significant devel opme nt results a nd effective ness of their work . (A) highlight the proje ct handle , maintain high growt h of investment . Adhere to the strategy as a Foundation, carryi ng out proje cts to promote i ncreas ed stamina im portant. One is to increase t he inte nsity of pr ojects t owards. Actively se ek national a nd pr ovincial policy s upport, superior s pe cial transfer payment s, a variety of additional income wil l top 70 0 million Yuan, a num ber of key infrastruct ure projects , livelihood proje cts, industri al proj ects i nto the cage. Second, increasi ng the proje ct attracts. Thi s year a total of 23 sig ned a maj or project, of which 14 billion project, Chi na Metallurgi cal group, va nke group, Guangdong heng da group, Ta iwan Rue ntex group, on the RI group, Shenz he n Kais a, jifeng agricultural machinery, M ercedes-Be nz, A udi 4S st ore and other large e nterpri ses and pr oject s have settle d in Shunqing. T hird, strengthe n pr oject construction. Annual implementation focus pr oject 3 9 a, fixed assets i nvestment total wi ll breakthr oug h 12 billion yuan, created distr ict yil ai history high, S out h door dam, and five in shop old city transformation, and Ying Chi na industrial conce ntrated dist ri ct construction, and city mai n road construction, and Nort heast steam Trade Ce nter, a nd moder n farmers industry Park, and vocatio nal education cit y, and low re ntal, and als o room constructi on, and feat ures bl ocks buil d, a nd farmers market transformation, a nd "rural versi on" Street transformation, focus engine ering s peed up implementation, effectivene ss obviousl y. Expe cted to be achieved t his year, are a-wi de G DP 17 billion

第 11 页

thrift of excellent traditi onal a nd style lack dee p of understa ndi ng, one -si ded t hink i n now of good s ituation Xi a, economic sm ooth more fast devel opme nt, and reform made major progres s, a nd people living significantly improve , and s ocial t he care er made new pr ogress, no ne cessary always ha rd has, no a warene ss to Chi na als o ha s many pove rty area, a nd al so has many poverty population of exists, m ore living impr ove ha s, more need ke ep hard of style . Thre e is not strictly honest. Total thought units i s a water se ctor, cle an s elf-dis cipline away from himself too far, no real pr oce ssing good living of impr ove and har d, and thrift excell ent traditional of relationshi p, no effective do comply with Constituti on a nd party of regulati ons must from I do up, no right mer cy good bitter Le, a nd wealt h of relati ons hip, no rig ht aware ness t o in comply with C onstitution and party of regulations as pect s everyone ha s accountability. Four, f uture directi on a nd impr ovement meas ures 1, belief a nd faith, strengthe n party s pirit. One i s to firmly establi sh t he noble ideal s of struggl e for the i deals of communism, com munist str uggle for life, ready t o sa crifice everyt hing for t he party a nd t he people. Se cond is t o conti nuously im prove the q uality and standard of political, cons cienti ously study Deng Xi aopi ng the ory and "three re present s" important t hought a nd the scientific Outl ook on development, im plement t he party's basi c pr ogram for the pr imary stage of s ociali sm, adhere to t he corre ct politi cal orientation, maintai n hig hly consistent w ith the CPC Ce ntral Committee, is good at t heorie s of socialism wit h Chine se characteri stics t o ana lyze and s olve pr oblem s. Third, strengt heni ng the party s pirit and the w orld tra nsformation, per severance of the party Constitution, relive Party vows t o establish corre ct worl d Outlook, Outlook on life and the worl d, pra ctically em bodies i deals and be liefs into action, combi ne l ofty ideals a nd practi cal activitie s, transformi ng the obj ective w orld, actively participate i n the great pra ctice of buil ding s ocialism with Chi nese chara cteristics. 2, kee p the purpose i n concept, cha nging the styl e of work. First, kee p in mi nd that the pur pose of servi ng, a dhere to a ssumi ng power for the people, kee p in mind the peo ple and care a bout pe ople, a nd t he joys a nd sorrows of the masse s, ... According to city dis cipli ne, and municipal organi zation Departme nt requireme nts, today we hel d "implement impl ementation independent Commissi on against corr upti on gui deli nes effective strengt heni ng led cadres style construction" topi c democratic life, main task i s cl ose conta ct thought, and work a ctual , control che ck distri ct Standi ng Committee team and the personal in im plementation independent Commissi on agai nst corr upti on guideli nes Shang exists of probl em, in-de pth carrie d out critici sm and self-criti cal, further clear re ctification dire ction and mea sures , effective enhanced cl ean politi cs of cons cious ness a nd i nitiative, firm set good of ruli ng image. Before t he meeting, t he way we take survey s soli cited a vie ws, combe d, related to team buil ding

当 n 为奇数时,因为 | x1 ? x2 ? 所以 S ? ?

? xn |? 1 ,

1 ( n ? 1) ,另一方面,若取 x1 ? x2 ? 2

? xn?1 ? 1 ,
2

xn?1 ? xn?1 ?
2 ?1 2 ?2

1 1 ? xn ? ?1 ,那么 S ? ? (n ? 1) ,因此 Smin ? ? (n ? 1) . 2 2
…………………………………………………………13 分

proje ct work, cadres , cadre s sele ction and ot her as pects of a total of 19, furt her defined t he dire ction of rectificati on, enhancing the perti nence and effectivene ss of democrati c life. 能 鉴 生 高 提 步 一 歌 诗 代 2古 修 必 是 图 意 置 设 元 单 本 。 受 美 审 富 丰 得 获 力 魅 术 艺 悟 析 赏 行 进 品 作 对 面 方 等 巧 技 现 表 、 容 内 从 习 学 , 上 础 基 的 知 感 体 整 在

Good for thi s meeting, we requested t he Standing Committee of the munici pal party Committee, munici pal Secretary General Ta ng Wenjin, t he City Commissi on for disci pli ne inspe ction Standi ng Committee Ya ng Xu, Jiang Jixue, D eputy Direct or of the personnel office, a nd other lea ding comrade s prese nt gui dance all ows us to warm a ppla use for their welcome a nd tha nks!

Below, I first District Committee member of the 20XX team annua l democratic meeti ng implementati on of the corrective meas ures, a s well as mem ber of the team a nd of my own report gui delines for the im plementation of the indepe nde nt Commission against corr upti on stateme nt invited lea ders a nd comrade s criticis m. First, annual party on t he 20 XX team, M ember of democratic life acti on pl an impl ementation year 20 XX, distri ct

democrati c meeting a mem ber of the team on "study and practi ce t he s cientific Outl ook on devel opment" theme, find a pr oject supporting strong e nough, t he industry well e nough, urba n constructi on ma nagement leve l nee ds t o be im proved, liveli hood impr ovement needs to be strengt hened, district team itse lf, such as t he five as pects . Year of 20 XX, w e find out t he probl ems menti one d above, based on act ual Shunqing construction and devel opme nt, conscie ntiously s um up improveme nts, a chievi ng sig nificant devel opment re sults and effectivenes s of their work. (A) highlight the project handle, mai ntain high gr owth of investment. A d here to t he strategy as a Foundati on, carrying out proje cts to promote increased stamina im portant. One is t o increase t he inte nsity of proje cts towards. Actively s eek nati onal and provi nci al policy support, superi or special tra nsfer pay ments, a variety of a dditi onal i ncome will t op 7 00 million Yuan, a num ber of key infrastructure proj ects, l ivelihood proje cts, i ndustrial proje cts int o the cage. Second, i ncreasi ng the pr oject attra cts. T his year a total of 23 sig ned a major proj ect, of whi ch 14 billion proje ct, China Metall urgical group, vanke gr oup, G uang dong he ngda gr oup, Taiwan Ruentex group, on the RI group, S henzhe n Kaisa, j ife ng agricult ural machi ner y, Mer cede s-Be nz, A udi 4S store and ot her large e nterpri ses a nd proj ects have s ettled i n Shunqing. Third, strengt hen proj ect construction . Annua l impleme ntation focus pr oje ct 39 a , fixed as sets inve stment total w ill bre akthrough 12 billion yua n, created district y ilai history high, S outh door dam, and five in shop ol d city tra nsformation, and Yi ng China industrial concentrated district construction, a nd city main r oad construction, a nd Nort heast steam Trade Ce nter, and modern farm ers i ndustry Park, and vocational educati on city, and low rental, and als o room constr ucti on, a nd features blocks buil d, a nd farmer s market transformati on, and "rural versi on" Street transformation, focus engine ering s peed up implementation, effectivene ss obviousl y. Expe cted to be achieved t his year, are a-wi de G DP 17 billion



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