1 . 已知抛物线
的方程为
.
(1)若M是
上的一点,点N在
的准线l上,
的焦点为F,且
,
,求
;
(2)设
为圆
外一点,过P作
的两条切线,分别与
相交于点A,B和C,D,证明:当P在定直线
上运动时,
四点的纵坐标乘积为定值的充要条件为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
(1)若M是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb333b87ab3ecde430010b4dd8b371fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/097f96fa2acd52a77bd9e2d3c33f53fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8c5c639651fd0df8f041185e5c080b4.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/302981b9a0645b6439fb0febfb4b1caf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee2abc983789634e0e57db4576e45b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f7b16d65f1b2b8bea8cf4a83fde925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc8335f8a3b076ccd596452bad61541.png)
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2023-09-08更新
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2卷引用:陕西省、青海省部分学校2024届高三上学期9月联考理科数学试题