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1、圆锥曲线一、填空题1、对于曲线C1422kykx=1，给出下面四个命题：由线 C 不可能表示椭圆；当 1k4 时，曲线C 表示椭圆；若曲线C 表示双曲线，则k1 或 k4;若曲线C 表示焦点在x 轴上的椭圆，则1k25其中所有正确命题的序号为_.2、已知椭圆)0(12222babyax的两个焦点分别为21,FF，点 P 在椭圆上，且满足021PFPF，2tan21FPF，则该椭圆的离心率为3.若0m，点25,mP在 双 曲 线15422yx上，则 点P到 该 双 曲 线 左 焦 点 的 距 离为.4、已知圆22:6480Cxyxy以圆C与坐标轴的交点分别作为双曲线的一个焦点和顶点，则适合上述条
2、件的双曲线的标准方程为5、已知点 P 是抛物线24yx上的动点，点 P 在 y 轴上的射影是M，点 A 的坐标是（4，a），则当|a4 时，|PAPM的最小值是6.在ABCV中,7,cos18ABBCB若以A，B为焦点的椭圆经过点C，则该椭圆的离心率e7.已知ABC的顶点B-3,0、C3,0，E、F分别为AB、AC的中点，AB和AC边上的中线交于G，且5|GF|+|GE|=，则点G的轨迹方程为8.离心率35e，一条准线为x3 的椭圆的标准方程是.9.抛物线)0(42aaxy的焦点坐标是_;10 将抛物线)0()3(42ayax按向量v=（4，3）平移后所得抛物线的焦点坐标为.11、抛物线)0(
3、12mxmy的焦点坐标是.12.已知F1、F2是椭圆2222)10(ayax=1(5a10的两个焦点，B 是短轴的一个端点，则F1BF2的面积的最大值是13.设 O 是坐标原点，F 是抛物线)0(22ppxy的焦点，A 是抛物线上的一点，FA与 x轴正向的夹角为60，则|OA为 .14.在ABC中，ABBC，7cos18B若以AB，为焦点的椭圆经过点C，则该椭圆的离心率e二.解答题15、已知动点P 与平面上两定点(2,0),(2,0)AB连线的斜率的积为定值12.（）试求动点P 的轨迹方程C.（）设直线1:kxyl与曲线 C 交于 M、N 两点，当|MN|=324时，求直线l 的方程.16、已
4、知三点P（5，2）、1F（6，0）、2F（6，0）。（）求以1F、2F 为焦点且过点P 的椭圆的标准方程；（）设点P、1F、2F 关于直线yx 的对称点分别为P、1F、2F，求以1F、2F 为焦点且过点P的双曲线的标准方程.文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T
5、6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7
6、S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H
7、10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M
8、1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7
9、O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG
10、1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q617已知双曲线与椭圆1244922yx共
11、焦点，且以xy34为渐近线，求双曲线方程18椭圆的中心是原点O，它的短轴长为22，相应于焦点F（c，0）（0c）的准线l与 x 轴相交于点A，|OF|=2|FA|，过点 A 的直线与椭圆相交于P、Q 两点.（）求椭圆的方程及离心率；（）若0OQOP，求直线PQ 的方程；19已知椭圆的中心在原点O，焦点在坐标轴上，直线y=x+1 与该椭圆相交于P 和 Q，且OPOQ，|PQ|=210，求椭圆的方程20一炮弹在A 处的东偏北60的某处爆炸，在A 处测到爆炸信号的时间比在B 处早 4 秒，已知 A 在 B 的正东方、相距 6 千米，P 为爆炸地点，（该信号的传播速度为每秒1 千米）求 A、P 两地的
12、距离文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10
13、J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T
14、6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7
15、S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H
16、10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M
17、1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7
18、O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6参考答案1.答案：2.答案：353.答案：13/2 4.221412xy5.答案：291a6.3/8 7.答案：221(5)2516xyx8.答案：2291520 xy9.答案：(a,0)10.答案：)0,41(a11.答案：（0，4m）12.答案：93100
19、13.答案：p221文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编
20、码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z
21、8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1
22、 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文
23、档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S
24、9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3
25、W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q614.答案：3815、（）解：设点(,)P x y，则依题意有1222yyxx，整理得.1222yx由于2x，所以求得的曲线C的方程为221(2).2xyx（）由.04)21(:.1,122222kxxkykxyyx得消去解得 x1=0,x2=
26、212,(214xxkk分别为 M，N的横坐标）由,234|214|1|1|22212kkkxxkMN.1:k解得所以直线 l的方程 xy+1=0或 x+y1=0 16、解：（I）由题意，可设所求椭圆的标准方程为22ax+122by)0(ba，其半焦距6c。|221PFPFa56212112222，a53，93645222cab，故所求椭圆的标准方程为452x+192y；（II）点 P（5，2）、1F（6，0）、2F（6，0）关于直线 yx的对称点分别为：)5,2(P、1F（0，-6）、2F（0，6）设所求双曲线的标准方程为212ax-1212by)0,0(11ba，由题意知半焦距61c，|2
27、211FPFPa54212112222，1a52，162036212121acb，故所求双曲线的标准方程为202y-1162x。15(10分)解析：由椭圆1244922yx5c文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG
28、1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO
29、7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3
30、P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:
31、CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8
32、HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 Z
33、F3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6设双曲线方程为12222byax，则253422baab16922ba故所求双曲线方程为
34、116922yx16（12分）解析：（1）由已知由题意，可设椭圆的方程为)2(12222ayax.由已知得).(2,2222ccacca解得2,6ca所以椭圆的方程为12622yx，离心率36e.（）解：由（1）可得 A（3，0）.设直线 PQ的方程为)3(xky.由方程组)3(,12622xkyyx得062718)13(2222kxkxk依题意0)32(122k，得3636k.设),(),(2211yxQyxP，则13182221kkxx，136272221kkxx.由直线 PQ的方程得)3(),3(2211xkyxky.于是9)(3)3)(3(2121221221xxxxkxxkyy.0O
35、QOP，02121yyxx.由得152k，从而)36,36(55k.所以直线 PQ 的方程为035yx或035yx.OPQxyOPQxy17（12分）解析：设所求椭圆的方程为12222byax，依题意，点 P（11,yx）、Q（22,yx）的坐标满足方程组112222xybyax解之并整理得0)1(2)(222222baxaxba或0)1(2)(222222abybyba文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 Z
36、F3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编
37、码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z
38、8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1
39、 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文
40、档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S
41、9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3
42、W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6所以222212baaxx，222221)1(babaxx222212babyy，222221)1(baabyy由OP OQ02121yyxx22222baba又由|PQ|=2102212212)()(yyxxPQ=2521221212214)(4)(yyyyxxxx=2521221212214)(4)(yyyyxxxx=25由可得：048324bb32222bb或23222aa或故所求椭圆方程为123222yx，或122322yx18(12分)解析：以直线 AB为x轴，线段 AB的垂
43、直平分线为y轴，建立直角坐标系，则A（3，0）、B（3，0）3,5,2614|cbaPAPB15422yxP是双曲线右支上的一点OxyABPOxyABPP在A的东偏北 60方向，360tanA Pk线段 AP所在的直线方程为)3(3 xy文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8
44、 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1
45、ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档
46、编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9
47、Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W
48、1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6
49、文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6解方程组00)3(3154
50、22yxxyyx358yx得，即P点的坐标为（8，35）A、P两地的距离为22)350()83(AP=10（千米）文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S4Q6文档编码:CG1H10J7S9Z8 HO7M1T6J3W1 ZF3P7O7S