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1、(有整理)双曲线单元测试题双曲线期末复习单元测试题1.双曲线221102xy的焦距为()A.32B.42C.33D.432.“双曲线的方程为221916xy”就是“双曲线的准线方程为95x”的()A.充分而不必要条件B.必要而不充分条件C.充分必要条件D.既不充分也不必要条件3.已知双曲线22291(0)ym xm的一个顶点到它的一条渐近线的距离为15,则m()A.1 B.2 C.3 D.4 4.双曲线22221xyab(0a,0b)的左、右焦点分别就是12FF，,过1F作倾斜角为30的直线交双曲线右支于M点,若2MF垂直于x轴,则双曲线的离心率为()A.6B.3C.2D.335.与曲线149
2、2422yx共焦点,而与曲线1643622yx共渐近线的双曲线方程为()A.191622xyB.191622yxC.116922xyD.116922yx6.已知双曲线22221xyab(a0,b0)的一条渐近线为y=kx(k0),离心率e=5k,则双曲线方程为()A.22xa224ya=1 B.222215xyaaC.222214xybbD.222215xybb7.如果双曲线22142xy上一点 P 到双曲线右焦点的距离就是2,那么点 P 到 y 轴的距离就是()A.364B.362C.62D.32(有整理)双曲线单元测试题9.已 知 双 曲 线22:1916xyC的 左 右 焦 点 分 别
3、为12,F F,P为C的 右 支 上 一 点,且212PFF F,则12PF F的面积等于().24.36.48.9611.设椭圆 C1的离心率为135,焦点在X轴上且长轴长为26、若曲线C2上的点到椭圆C1的两个焦点的距离的差的绝对值等于8,则曲线 C2的标准方程为()A.1342222yxB.15132222yxC.1432222yxD.112132222yx12.P为 双 曲 线221916xy的 右 支 上 一 点,M,N分 别 就 是 圆22(5)4xy与22(5)1xy上的点,则PMPN的最大值为().6.7.8.913.若曲线22141xykk表示双曲线,则k的取值范围就是14.
4、已知双曲线22221(0,0)xyabab的两条渐近线方程为33yx,若顶点到渐近线的距离为1,则双曲线方程为.15.过双曲线221916xy的右顶点为A,右焦点为F。过点 F 平行双曲线的一条渐近线的直线与双曲线交于点B,则 AFB 的面积为 _。16.方程22142xytt所表示的曲线为C,有下列命题:若曲线 C 为椭圆,则24t;若曲线 C 为双曲线,则4t或2t;曲线 C 不可能为圆;若曲线 C 表示焦点在y上的双曲线,则4t。以上命题正确的就是。(填上所有正确命题的序号)18.(本题满分12 分)设双曲线1C的方程为22221(0,0)xyabab,A、B 为其左、右两个顶点,P 就
5、是双曲线1C上的任一点,引,QBPBQAPA,AQ 与 BQ 相交于点Q。文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3
6、 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5
7、ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档
8、编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4
9、T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S
10、5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6
11、文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6(有整理)双曲线单元测试题(1)求 Q 点的轨迹方程;(2)设(1)中所求轨迹为2C,1C、2C的离心率分别为1e、2e,当12e时,求2e的取值范围。19.(本小题满分12 分)如图,在以
12、点O为圆心,|4AB为直径的半圆ADB中,ODAB,P就是半圆弧上一点,30POB,曲线C就是满足|MAMB为定值的动点M的轨迹,且曲线C过点P、()建立适当的平面直角坐标系,求曲线C的方程;()设过点D的直线l与曲线C相交于不同的两点E、F、若OEF的面积等于2 2,求直线l的方程。、20(本小题满分12 分)双曲线的中心为原点O,焦点在x轴上,两条渐近线分别为12ll，,经过右焦点F垂直于1l的直线分别交12ll，于,A B两点.已知OAABOB、成等差数列,且BF与FA同向.()求双曲线的离心率;()设AB被双曲线所截得的线段的长为4,求双曲线的方程.21.(本题满分12 分)如图,F
13、为双曲线C:222210,0 xyabab的右焦点。P 为双曲线C右支上一点,且位于x轴上方,M 为左准线上一点,O为坐标原点。已知四边形OFPM为平行四边形,PFOF。()写出双曲线C 的离心率e与的关系式;()当1时,经过焦点 F且平行于 OP 的直线交双曲线于 A、B 点,若12AB,求此时的双曲线方程。22.(本小题满分14 分)已知双曲线222xy的右焦点为F,过点F的动直线与双曲线相交于AB，两点,点C的坐标就是(10)，.(I)证明CA CB为常数;(II)若动点M满足CMCACBCO(其中O为坐标原点),求点M的轨迹方程.参考答案一、选择题(本大题共12 小题,每小题5 分,共
14、 60 分、在每小题给出的四个选项中,只有一项就是符合题目要求的)1.D 解:由双曲线方程得22210,212abc,于就是2 3,24 3cc,故选。O F x y P M 第 21 题图H 文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4
15、R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10
16、S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P
17、2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6
18、H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L
19、10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B
20、3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6(有整理)双曲线单元测试题2.A 解:“双曲线的方程为221916xy
21、”“双曲线的准线方程为95x”但就是“准线方程为95x”“双曲线的方程221916xy”,反例:2211882xy。故选 A。3.D 解:2221191(0),3ym xmabm取顶点1(0,)3,一条渐近线为30,mxy221|3|139254.59mmm故选。4.B 解:如图在12Rt MF F中,121230,2MF FF Fc1243cos303cMFc,222tan3033MFcc124222333333aMFMFccc3cea,故选 B。5.A 解:由双曲线与曲线1492422yx共焦点知焦点在y轴上,可排除B、D,与曲线1643622yx共渐近线可排除C,故选 A。6.C 解:5
22、ceka2225bkackaabc,所以224ab,故选 C。7.A 解:由点P到双曲线右焦点(6,0)的距离就是2 知P在双曲线右支上.又由双曲线的第二定义知点P到双曲线右准线的距离就是2 63,双曲线的右准线方程就是2 63x,故点P到y轴的距离就是4 63.选 A.8.(理)B 解:2033,22aexaeaaac23520,ee文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1
23、L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2
24、B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K
25、3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:C
26、E1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 H
27、X2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR
28、9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码
29、:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6(有整理)双曲线单元测试题2e或13e(舍去),(2,e故选 B、(文)解:200aexaxc20(1)aexac2(1),aaeac1111,aece2210,ee1212,e而双曲线的离心率1,e(1,21,e故选、9.解法一:双曲线22:1916xyC中3,4,5abc125,0,5,0FF212PFF F12261016PFaPF作1PF边上的高2AF,则18AF2221086AF12PF F的面积为121116 64822PFPF故选 C。解法二:双曲线22:1916xyC中3,4,5abc125,0,5,0F
30、F设000,0P xyx，,则由212PFF F得22200510 xy又P为C的右支上一点22001916xy22001619xy220051611009xx即20025908190 xx解得0215x或03905x(舍去)2200211481611619595xy12PF F的面积为12011481048225F Fy故选 C。10.221211222,(2)222SababScc,122222122SababScab,故选 C。11.解:对 于 椭 圆1C,13,5ac,曲 线2C为 双 曲 线,5,c4a,标 准 方 程文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9
31、K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:
32、CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3
33、HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 Z
34、R9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编
35、码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T
36、3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5
37、 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6(有整理)双曲线单元测试题为:2222143xy。故选 A。12.解:设双曲线的两个焦点分别就是F1(5,0)与 F2(5,0),则这两点正好就是两圆的圆心,当且仅当点P 与 M、F1三点共线以及P 与 N、F2三点共线时所求的值最大,此时|PM|PN|(|PF1|2)(|PF2|1)1019,故选 B。二、填空题(本大题共4
38、小题,每小题 4 分,共 16 分、把答案填在题中的横线上)13(,4)(1,)解:(4)(1)0(4)(1)01,4kkkkkk或。14.223144xy解:如图由题设1AP,30AOP2aOA32 3233b,所以双曲线方程为223144xy15.3215解:双曲线的右顶点坐标(3,0)A,右焦点坐标(5,0)F,设一条渐近线方程为43yx,建立方程组224(5)31916yxxy,得交点纵坐标3215y,从而13232221515AFBS。16.解:若曲线 C 为椭圆,则402432042tttttt且,错误;若曲线 C 为双曲线,则(4)(2)024tttt或,正确;当3t时曲线 C
39、方程为221xy,表示圆,错误;若曲线 C 表示焦点在y上的双曲线,则40420ttt,正确。三、解答题(本大题共6 小题,共 74 分,解答应写出文字说明,证明过程或演算步骤)17.解:(1)设 P(x,y)为所求曲线上任意一点,由双曲线定义得16)06()36(161)0()3(12222MFxyxxPFe=3化简整理得16322yx文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE
40、1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX
41、2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9
42、K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:
43、CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3
44、HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 Z
45、R9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编
46、码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6(有整理)双曲线单元测试题B P yxO A Q(2)abbacacace3,22222又因此,不妨设双曲线方程为132222ayax,因为点 M(6,6)在双曲线上,所以136622aa,得42a,122b故所求双曲线方程为112422yx18.解:(1)设00(,),(,)P xyQ x y(,0),(,0),AaB aQBPBQAPA022002222000111yyxa xayyyyxaxaxa xa,2200221xyab,2202220ybxaa,22222yaxab,化简得:22224a xb ya,经检
47、验,点(,0),(,0)aa不合题意,点 Q 的轨迹方程为22224,(0)a xb yay(2)由(1)得2C的方程为224221xyaab,422222222222111111aaaabeabcae,12e,222112(2)1e,212e。19.解:()解法1:以O为原点,AB OD所在直线分别为x轴、y轴,建立平面直角坐标系,则(2,0),(2,0)AB,(0,2),(3,1)DP,依题意得MAMBPAPB2222(23)1231224AB（）曲线C就是以原点为中心,A B为焦点的双曲线、设实半轴长为a,虚半轴长为b,半焦距为c,文档编码:CE1L10S1N4T3 HX2B3P2W3S
48、5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6
49、文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1
50、N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W3S5 ZR9K3P6H4R6文档编码:CE1L10S1N4T3 HX2B3P2W