名校
1 . 如图,已知定圆
,定直线
,过
的一条动直线
与直线
相交于
,与圆
相交于
,
两点,
是
中点.
![](https://img.xkw.com/dksih/QBM/2018/12/6/2091082894270464/2094386762170368/STEM/feaa0880ff1141dcae8f70fd15425f82.png?resizew=174)
(Ⅰ)当
与
垂直时,求证:
过圆心
.
(Ⅱ)当
时,求直线
的方程.
(Ⅲ)设
,试问
是否为定值,若为定值,请求出
的值;若不为定值,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0873a0f3245544b4451ec5d2570dbe41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c434abb1778a406a794336b0de0d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c6ff81aedbefa935da289dc632e78eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://img.xkw.com/dksih/QBM/2018/12/6/2091082894270464/2094386762170368/STEM/feaa0880ff1141dcae8f70fd15425f82.png?resizew=174)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94b9bfc9045f049b11d4b1c887e6c579.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(Ⅲ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/603688510d3f0e263680f984bcc8e1c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2016-12-03更新
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2336次组卷
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9卷引用:北京市西城区北师大实验2017届高三上12月月考数学(理)试题