名校
解题方法
1 . 已知抛物线
和圆
,抛物线
的焦点为
.
![](https://img.xkw.com/dksih/QBM/2020/2/28/2408968253210624/2409472244170752/STEM/90e253ea-a4fc-444c-81f3-eb38495f175c.png)
(1)求
的圆心到
的准线的距离;
(2)若点
在抛物线
上,且满足
, 过点
作圆
的两条切线,记切点为
,求四边形
的面积的取值范围;
(3)如图,若直线
与抛物线
和圆
依次交于
四点,证明:
的充要条件是“直线
的方程为
”
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e52e2eb084820ab6b942145abae0f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d962d9473707de1a8923727d1945259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2020/2/28/2408968253210624/2409472244170752/STEM/90e253ea-a4fc-444c-81f3-eb38495f175c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb9ad1e34877b0db02d0219332b0f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f464e7ef87c73781f11e78471f19f4e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0753d9770c7fc699de7ee7126ec94ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb9ad1e34877b0db02d0219332b0f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/605bdf556ed0367721817417cf0bbbfc.png)
(3)如图,若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb9ad1e34877b0db02d0219332b0f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305dc41f7af922a49b3bdfe151776744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4afec5e278385787e066f099f049fbfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
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2020-02-29更新
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