最新《新华人寿保险股份有限公司六类职业分类表》(版)解析

最新《新华人寿保险股份有限公司六类职业分类表》(版)解析
最新《新华人寿保险股份有限公司六类职业分类表》(版)解析

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新华人寿保险股份有限公司六类职业分类表1.行业分类表

2.职业分类表

解析几何专题含答案

椭圆专题练习 1.【2017浙江,2】椭圆22 194 x y +=的离心率是 A B C .23 D .5 9 2.【2017课标3,理10】已知椭圆C :22 221x y a b +=,(a >b >0)的左、右顶点分别为A 1,A 2,且以线段A 1A 2为直径的圆与直线20bx ay ab -+=相切,则C 的离心率为 A .3 B .3 C .3 D .13 3.【2016高考浙江理数】已知椭圆C 1:+y 2=1(m >1)与双曲线C 2:–y 2=1(n >0)的焦点重合,e 1, e 2分别为C 1,C 2的离心率,则() A .m >n 且e 1e 2>1 B .m >n 且e 1e 2<1 C .m 1 D .m b >0),四点P 1(1,1),P 2(0,1),P 3(–1, 2),P 4(1,2 )中恰有三点在椭圆C 上. (1)求C 的方程; (2)设直线l 不经过P 2点且与C 相交于A ,B 两点.若直线P 2A 与直线P 2B 的斜率的和为–1,证明:l 过定点. 8.【2017课标II ,理】设O 为坐标原点,动点M 在椭圆C :2 212 x y +=上,过M 作x 轴的垂线, 垂足为N ,点P 满足NP =u u u r u u u r 。

解析几何第四版吕林根课后习题答案第三章(同名3095)

第三章 平面与空间直线 § 3.1平面的方程 1.求下列各平面的坐标式参数方程和一般方程: (1)通过点)1,1,3(1-M 和点)0,1,1(2-M 且平行于矢量}2,0,1{-的平面(2)通过点 )1,5,1(1-M 和)2,2,3(2-M 且垂直于xoy 坐标面的平面; (3)已知四点)3,1,5(A ,)2,6,1(B ,)4,0,5(C )6,0,4(D 。求通过直线AB 且平行于直线CD 的平面,并求通过直线AB 且与ABC ?平面垂直的平面。 解: (1)Θ }1,2,2{21--=M M ,又矢量}2,0,1{-平行于所求平面, 故所求的平面方程为: ?? ? ??++-=-=--=v u z u y v u x 212123 一般方程为:07234=-+-z y x (2)由于平面垂直于xoy 面,所以它平行于z 轴,即}1,0,0{与所求的平面平行,又 }3,7,2{21-=M M ,平行于所求的平面,所以要求的平面的参数方程为: ?? ? ??+-=+-=+=v u z u y u x 317521 一般方程为:0)5(2)1(7=+--y x ,即01727=--y x 。 (3)(ⅰ)设平面π通过直线AB ,且平行于直线CD : }1,5,4{--=,}2,0,1{-= 从而π的参数方程为: ?? ? ??+-=+=--=v u z u y v u x 235145 一般方程为:0745910=-++z y x 。 (ⅱ)设平面π'通过直线AB ,且垂直于ABC ?所在的平面 ∴ }1,5,4{--=, }1,1,1{4}4,4,4{}1,1,0{}1,5,4{==-?--=?

解析几何第四版吕林根课后习题答案第五章

解析几何第四版吕林根课后习题答案第五章

第五章 二次曲线一般的理论 §5.1二次曲线与直线的相关位置 1. 写出下列二次曲线的矩阵A 以及1 (,)F x y , 2 (,)F x y 及3 (,)F x y . (1) 2222 1x y a b +=;(2) 22 22 1x y a b -=;(3)2 2y px =;(4) 223520; x y x -++= (5)2 226740 x xy y x y -+-+-=.解:(1) 221 0010 000 1a A b ?? ? ? ?= ? ?- ? ?? ?; 121(,)F x y x a = 221(,)F x y y b =3(,)1F x y =-;(2) 221 0010 0001a A b ?? ? ? ?=- ? ?- ? ?? ? ; 121(,)F x y x a = 221(,)F x y y b =-;3 (,)1F x y =-.(3) 0001000p A p -?? ?= ? ?-?? ; 1(,)F x y p =-;2 (,)F x y y =;3 (,)F x y px =-;(4) 510 20 305022A ?? ? ?=- ? ? ? ??; 15(,)2F x y x =+ ;2 (,)3F x y y =-;3 5(,)22 F x y x =+;(5)

222420 x xy ky x y ++--=交于两个共轭虚交点.解:详解 略.(1)4k <-;(2)1k =或3k =(3)1k =或5k =;(4) 4924 k >. §5.2二次曲线的渐进方向、中心、渐进线 1. 求下列二次曲线的渐进方向并指出曲线属于 何种类型的(1) 22230 x xy y x y ++++=;(2) 22342250 x xy y x y ++--+=;(3)24230xy x y --+=. 解:(1)由2 2(,)20 X Y X XY Y φ=++=得渐进方向为:1:1 X Y =-或1:1-且属于抛物型的; (2)由2 2(,)3420 X Y X XY Y φ=++=得渐进方向为:(22):3 X Y i =-且属于椭圆型的; (3) 由(,)20X Y XY φ==得渐进方向为:1:0X Y =或0:1且属于双曲型的. 2. 判断下列曲线是中心曲线,无心曲线还是线心曲线. (1)2 2224630 x xy y x y -+--+=;(2)2 2442210 x xy y x y -++--=; (3)2 281230 y x y ++-=;(4)2 296620 x xy y x y -+-+=.解:(1) 因为2 1110 12I -= =≠-,所以它为中心曲线; (2)因 为2 120 24 I -= =-且121 241-=≠--,所以它为无心曲线; (3)因为2 00002I = =且004 026 =≠,所以它为无心曲线; (4)因为2 930 3 1 I -==-且933312--==-,所以它为线心曲线;

2018年大学英语四级考试真题

2018年12月大学英语四级考试真题 Part 1 writing Directions:For this part,you are allowed 30minutes to write a short essay on the challenges of living in a big city.You should write at least 120 words bu no more than 180 words. Part 2 Section A Question 1 and 2 1.A)Land a space vehicle on the moon in 2019. B)Design a new generation of mobile phones. C)Set up a mobile phone network on the moon. D)Gather data from the moon with a tiny device. 2.A)It is stable. B)It is inexpensive. C)It is durable. D)It is sophisticated. Question 3 and 4 3.A)It lasted more than six hours. B)No injuries were yet reported. C)Nobody was in the building when it broke out. D)It had burned for 45 minutes by the time firefighters arrived. 4.A)Recruit and train more firefighters. B)Pull down the deserted shopping mall. C)Turn the shopping mall into an amusement park. D)Find money to renovate the local neighborhood. Question 5 to 7 5.A)Shrinking potato farming. B)Heavy reliance on import. C)Widespread plant disease. D)Insufficient potato supply. 6.A)It intends to keep its traditional diet. B)It wants to expand its own farming. C)It is afraid of the spread of disease. D)It is worried about unfair competition. 7.A)Global warming. B)Ever-rising prices. C)Government regulation. D)Diminishing investment. Section B Question 8 to 11 8.A)Informative. B)Inspiring. C)Dull.

解析几何第四版习题答案第四章

第四章 柱面、锥面、旋转曲面与二次曲面 § 4.1柱面 1、已知柱面的准线为: ? ? ?=+-+=-+++-0225 )2()3()1(222z y x z y x 且(1)母线平行于x 轴;(2)母线平行于直线c z y x ==,,试求这些柱面的方程。 解:(1)从方程 ?? ?=+-+=-+++-0 225 )2()3()1(222z y x z y x 中消去x ,得到:25)2()3()3(2 2 2 =-+++--z y y z 即:02 3 5622=----+z y yz z y 此即为要求的柱面方程。 (2)取准线上一点),,(0000z y x M ,过0M 且平行于直线? ??==c z y x 的直线方程为: ??? ??=-=-=? ?? ? ??=+=+=z z t y y t x x z z t y y t x x 0 00000 而0M 在准线上,所以 ?? ?=+--+=-++-+--0 2225 )2()3()1(222t z y x z t y t x 上式中消去t 后得到:026888232 22=--+--++z y x xy z y x 此即为要求的柱面方程。 2 而0M 在准线上,所以: ?? ?+=-++=-) 2(2)2(2 2t z t x t z y t x 消去t ,得到:010******* 22=--+++z x xz z y x 此即为所求的方程。 3、求过三条平行直线211,11,-=+=--==+==z y x z y x z y x 与的圆柱面方程。

解:过 又过准线上一点),,(1111z y x M ,且方向为{ }1,1,1的直线方程为: ??? ??-=-=-=? ?? ? ??+=+=+=t z z t y y t x x t z z t y y t x x 1 11111 将此式代入准线方程,并消去t 得到: 013112)(5222=-++---++z y x zx yz xy z y x 此即为所求的圆柱面的方程。 4、已知柱面的准线为{})(),(),((u z u y u x u =γ,母线的方向平行于矢量{}Z Y X ,,=,试证明柱面的矢量式参数方程与坐标式参数方程分别为: S v u Y x +=)( 与 ?? ? ??+=+=+=Zv u z z Yv u y y Xv u x x )()()( 式中的v u ,为参数。 证明:对柱面上任一点),,(z y x M ,过M 的母线与准线交于点))(),(),((u z u y u x M ',则, v M =' 即 1、求顶点在原点,准线为01,0122 =+-=+-z y z x 的锥面方程。 解:设为锥面上任一点),,(z y x M ,过M 与O 的直线为: z Z y Y x X == 设其与准线交于),,(000Z Y X ,即存在t ,使zt Z yt Y xt X ===000,,,将它们代入准线方程,并消去参数t ,得: 0)()(222=-+--y z y z z x 即:02 22=-+z y x 此为所要求的锥面方程。 2、已知锥面的顶点为)2,1,3(--,准线为0,12 22=+-=-+z y x z y x ,试求它的方程。

最新大学英语四级考试题型

历年来英语四级考试格式 考试答题的顺序 1.作文分数106.5分 2.快速阅读71分 3.听力部分248.5分 4.是一篇篇章词汇理解和两篇传统的阅读理解,177.5分 5.是完形填空(极大可能考这个)71分 6.翻译,汉译英并且需译部分只是一般的短句翻译。35.5分 CET-4考试内容 一、试卷构成和成绩报道 就所测试的语言能力而言,试点阶段的四级考试由以下四个部分构成:1)听力理解;2)阅读理解;3)完型填空或改错;4)写作和翻译。 听力理解部分分值比例为35%;其中听力对话15%,听力短文20%。听力对话部分包括短对话和长对话的听力理解;听力短文部分包括选择题型的短文理解和复合式听写。 阅读理解部分分值比例为35%;其中仔细阅读部分(Reading in Depth)25%,快速阅读部分(Skimming and Scanning)10%。仔细阅读部分分为:a)选择题型的篇章阅读理解;b)篇章层次的词汇理解(Banked Cloze)或短句问答(Short Answer Questions)。快速阅读理解部分测试的是浏览阅读和查读能力。 完型填空或改错部分分值比例为10%。完型填空部分采用多项选择题型,改错部分的要求是辨认错误并改正。

写作和翻译部分分值比例为20%;其中写作部分(Writing)15%,翻译部分(Translation)5%。写作的体裁包括议论文、说明文、应用文等;翻译部分测试的是句子、短语或常用表达层次上的中译英能力。 具体比例搭配如下: 作文15%(有14分、12分、8分、6分、2分和0分四个档次,用时30分钟) 快速阅读10%(7个判断题每个1%,3个填空题也是1%,单词拼写错误不给分,用时15分钟) 听力35%(短对话8个,每个1%,长对话8个,每个1%,短文10个,每个1%,填词7个,每个0.5%,3个句子分别为2%,2%,2.5%。用时35分钟) 篇章阅读20%+词汇阅读5%(传统阅读10个,一个2%,选词阅读10%,一个0.5%。用时25分钟) 完型填空10%(20个小题,一题0.5%。用时15分钟) 翻译5%(一题1%。用时5分钟) 快速阅读的答题方式不一定 写作:30分钟, 107分(15%) 快速阅读 15分钟,70分(10%)

解析几何第四版吕林根课后习题答案第五章

第五章 二次曲线一般的理论 §5.1二次曲线与直线的相关位置 1. 写出下列二次曲线的矩阵A 以及1(,)F x y ,2(,)F x y 及3(,)F x y . (1)22221x y a b +=;(2)22 221x y a b -=;(3)22y px =;(4)223520;x y x -++= (5)2226740x xy y x y -+-+-=.解:(1)221 0010 000 1a A b ?? ? ? ?= ? ?- ? ???;121(,)F x y x a =221 (,)F x y y b =3(,)1F x y =-;(2)2210010 000 1a A b ?? ? ? ?=- ? ?- ? ?? ? ;121(,)F x y x a =221(,)F x y y b =-;3(,)1F x y =-.(3)0001000p A p -?? ? = ? ? -?? ; 1(,)F x y p =-;2(,)F x y y =;3(,)F x y px =-;(4)51020 305022A ?? ? ?=- ? ? ? ??; 15(,)2F x y x =+;2(,)3F x y y =-;35 (,)22 F x y x =+;(5)1232 171227342 A ??-- ? ? ?=- ? ? ?-- ??? ;11(,)232F x y x y =- -;217(,)22F x y x y =-++;37(,)342 F x y x y =-+-. 2. 求二次曲线2 2 234630x xy y x y ----+=与下列直线的交点.(1)550 x y --=

解析几何第四版吕林根课后习题答案第三章

第三章 平面与空间直线 § 平面的方程 1.求下列各平面的坐标式参数方程和一般方程: (1)通过点)1,1,3(1-M 和点)0,1,1(2-M 且平行于矢量}2,0,1{-的平面(2)通过点 )1,5,1(1-M 和)2,2,3(2-M 且垂直于xoy 坐标面的平面; (3)已知四点)3,1,5(A ,)2,6,1(B ,)4,0,5(C )6,0,4(D 。求通过直线AB 且平行于直线CD 的平面,并求通过直线AB 且与ABC ?平面垂直的平面。 解: (1)Θ }1,2,2{21--=M M ,又矢量}2,0,1{-平行于所求平面, 故所求的平面方程为: 一般方程为:07234=-+-z y x (2)由于平面垂直于xoy 面,所以它平行于z 轴,即}1,0,0{与所求的平面平行,又}3,7,2{21-=M M ,平行于所求的平面,所以要求的平面的参数方程为: 一般方程为:0)5(2)1(7=+--y x ,即01727=--y x 。 (3)(ⅰ)设平面π通过直线AB ,且平行于直线CD : }1,5,4{--=,}2,0,1{-= 从而π的参数方程为: 一般方程为:0745910=-++z y x 。 (ⅱ)设平面π'通过直线AB ,且垂直于ABC ?所在的平面 ∴ }1,5,4{--=AB , }1,1,1{4}4,4,4{}1,1,0{}1,5,4{==-?--=?AC AB 均与π'平行,所以π'的参数式方程为: 一般方程为:0232=--+z y x . 2.化一般方程为截距式与参数式:

042:=+-+z y x π. 解: π与三个坐标轴的交点为:)4,0,0(),0,20(),0,0,4(--, 所以,它的截距式方程为: 14 24=+-+-z y x . 又与所给平面方程平行的矢量为:}4,0,4{},0,2,4{-, ∴ 所求平面的参数式方程为: 3.证明矢量},,{Z Y X =平行与平面0=+++D Cz By Ax 的充要条件为: 0=++CZ BY AX . 证明: 不妨设0≠A , 则平面0=+++D Cz By Ax 的参数式方程为: 故其方位矢量为:}1,0,{},0,1,{A C A B --, 从而v 平行于平面0=+++D Cz By Ax 的充要条件为: ,}1,0,{},0,1,{A C A B -- 共面? ? 0=++CZ BY AX . 4. 已知连接两点),12,0(),5,10,3(z B A -的线段平行于平面0147=--+z y x ,求B 点的z 坐标. 解: Θ }5,2,3{z +-= 而平行于0147=--+z y x 由题3知:0)5(427)3(=+-?+?-z 从而18=z . 5. 求下列平面的一般方程. ⑴通过点()1,1,21-M 和()1,2,32-M 且分别平行于三坐标轴的三个平面; ⑵过点()4,2,3-M 且在x 轴和y 轴上截距分别为2-和3-的平面;

大学英语四级考试真题及答案(完整版)

大学英语四级考试真题及答案(绝对完整) Part I Writing (30 minutes) Directions: For this part, you are allowed 30 minute to write a short essay on the topic of students selecting their lectures. You should write at least 120 words following the outline given bellow: 1. 越来越多的博物馆免费对外开放的目的是什么? 2. 也会带来一些问题 3. 你的看法? Part II Reading Comprehension (Skimming and Scanning) (15 minutes)Directions: In this part, you will have 15 minutes to go over the passage quickly and answer the questions on Answer Sheet 1. For questions 1-7, choose the best answer from the four choices marked A),B),C) and D). For questions 8-10, complete the sentences with the information given in the passage. How Do You See Diversity? As a manager, Tiffany is responsible for interviewing applicants for some of the positions with her company .During one interview, she noticed that the candidate never made direct eye contact. She was puzzled and somewhat disappointed because she liked the individual otherwise. He had a perfect resume and gave good responses to her questions, but the fact that he never looked her in the eye said “untrustworthy,” so she decided to offer the job to her second choice. “It wasn’t until I attended a diversity workshop that I realized the person we passed over was the perfect person,” Tiffany confesses. What she hadn’t known at the time of the interview was that the candidate’s “different” behavior was simply a cultural misunderstanding . He was an Asian-American raised in a household where respect for those in authority was shown by averting(避开) your eyes. “I was just thrown off by the lack of ye contact; not realizing it was cultural,” Tiffany says. “I missed out ,but will not miss that opportunity again.” Many of us have had similar encounters with behaviors we perceive as different. As the world becomes smaller and our workplaces more diverse, it is becoming essential to expand our under-standing of others and to reexamine some of our false assumptions . Hire Advantage At a time when hiring qualified people is becoming more difficult ,employers who can eliminate invalid biases(偏爱) from the process have a distinct advantage .My company, Mindsets LLC ,helps organizations and individuals see their own blind spots . A real estate recruiter we worked with illustrates the positive difference such training can make .

解析几何第四版吕林根 期末复习 课后习题(重点)详解

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