名校
1 . 如图,已知
和抛物线
是圆
上一点,M是抛物线
上一点,F是抛物线
的焦点.
![](https://img.xkw.com/dksih/QBM/2021/6/3/2735096321589248/2735881169477632/STEM/8efff9db-ef21-4bae-9de0-f271f0870ffd.png?resizew=181)
(1)当直线
与圆
相切,且
时,求
点的坐标;
(2)过P作抛物线
的两条切线
分别为切点,求证:存在两个
,使得
面积等于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77208a2d8eef1856d213fde4b88805f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451e94c94277ef7d8e74f3dfef159880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://img.xkw.com/dksih/QBM/2021/6/3/2735096321589248/2735881169477632/STEM/8efff9db-ef21-4bae-9de0-f271f0870ffd.png?resizew=181)
(1)当直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30ced5c43c74f54a3a7ceb1bdf6260a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)过P作抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/270dcf5882716678ef574e71273e0a75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb57d84f9bbcb3e30d4ce7e2e1e8604.png)
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2021-06-04更新
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