1 . 已知双曲线
的左右焦点分别为
,离心率为 2,
是
上一点,且
,
的周长为 12.
(1)求C的方程;
(2)过
的直线
与C的右支交于A,B两点,过原点O作AB的垂线,并且与双曲线右支交于点P,证明:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c8091d78595c42d437ff5766431a8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9515cfa7042107ed0ea7a3e409b91c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b42fc33bcfc63ec2f4940ccd3f862400.png)
(1)求C的方程;
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e15e2ecbc15d559f1ab2a96dc82142.png)
您最近一年使用:0次
2 . 已知两点
、
,给出下列曲线方程:①
;②
;③
;④
.则曲线上存在点P满足
的方程的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba672197dc8de3497aaecfd8fd4d1499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354b980819c6ba892ce0e9ecead90634.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcfc6b5b7ae63a330f0cd8593ee47338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a3c416c1206b868ee61f8c2a05c45b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1892b7c3cd7bea116f532f66fba44662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5929048ce5167abc4750589f2e21841.png)
您最近一年使用:0次
2022-09-07更新
|
263次组卷
|
2卷引用:新疆克拉玛依市高级中学2022-2023学年高三下学期第一次闭环检测理科数学试题
3 . 直线
与双曲线
交于A,B两点,将此平面沿x轴折成直二面角,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bead945284ae967c8c526c9a73a26e6.png)
_______ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/647ec3437ad0acf8ab99f5d92a8867ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bead945284ae967c8c526c9a73a26e6.png)
您最近一年使用:0次
2022-05-22更新
|
262次组卷
|
2卷引用:新疆乌鲁木齐地区2022届高三下学期第三次质量监测数学(理)试题(问卷)