名校
1 . 如图,设
,
是圆
上的两个动点,且M、P点都不在坐标轴上,点M关于原点的对称点为
,点M关于x轴的对称点为
,若直线
,
与y轴分别相交于
和
则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/793894c733026e3f5900b31538fcb731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a0d57b17ddff13ca6f17f3969a32b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/393a0e30b023f2a20d366eef481b5eea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/566b349adddfbd4144f0ecf7a13b05bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/924d2a2d9437355998498de38b5ebf54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1e4ea387d312c373970434e84779364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f667b7672302c7644e31103865e9230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc3fa6438d73fac62ea3d535f1c1cdab.png)
A.2 | B.4 | C.6 | D.8 |
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2012·宁夏银川·一模
2 . 如图椭圆
的右顶点是
,上下两个顶点分别为
,四边形
是矩形(
为原点),点
分别为线段
的中点.
(Ⅰ)证明:直线
与直线
的交点在椭圆
上;
(Ⅱ)若过点
的直线交椭圆于
两点,
为
关于
轴的对称点(
不共线),问:直线
是否经过
轴上一定点,如果是,求这个定点的坐标,如果不是,说明理由.
![](https://img.xkw.com/dksih/QBM/2012/3/23/1570819475595264/1570819481141248/STEM/307070af53584d4098cb802ffc0d0f26.png)
![](https://img.xkw.com/dksih/QBM/2012/3/23/1570819475595264/1570819481141248/STEM/433789e044f24bc48e481718408e96da.png)
![](https://img.xkw.com/dksih/QBM/2012/3/23/1570819475595264/1570819481141248/STEM/212c328ff23d46009fc8f4561a2055bc.png)
![](https://img.xkw.com/dksih/QBM/2012/3/23/1570819475595264/1570819481141248/STEM/5cae5ced0f324d6fafaa2e54fc2508d3.png)
![](https://img.xkw.com/dksih/QBM/2012/3/23/1570819475595264/1570819481141248/STEM/1029f9e09b01469bbb282252f3ab72e7.png)
![](https://img.xkw.com/dksih/QBM/2012/3/23/1570819475595264/1570819481141248/STEM/7f3dbb7cb38545b59df43d08201ad17b.png)
![](https://img.xkw.com/dksih/QBM/2012/3/23/1570819475595264/1570819481141248/STEM/da006b61f7b64bdcabf89e5d3d92ce87.png)
(Ⅰ)证明:直线
![](https://img.xkw.com/dksih/QBM/2012/3/23/1570819475595264/1570819481141248/STEM/fdc6bf5224594431ac0de9f7b9262391.png)
![](https://img.xkw.com/dksih/QBM/2012/3/23/1570819475595264/1570819481141248/STEM/1ec148dce161401e8865a01bb723aa37.png)
![](https://img.xkw.com/dksih/QBM/2012/3/23/1570819475595264/1570819481141248/STEM/17e1af30553249e38a2baefa86faa1b1.png)
(Ⅱ)若过点
![](https://img.xkw.com/dksih/QBM/2012/3/23/1570819475595264/1570819481141248/STEM/058ff30c4eb14e24bd8b9ffb1c7df511.png)
![](https://img.xkw.com/dksih/QBM/2012/3/23/1570819475595264/1570819481141248/STEM/718d08424b574a1ebe1c9a55d4d29f66.png)
![](https://img.xkw.com/dksih/QBM/2012/3/23/1570819475595264/1570819481141248/STEM/4224c9b271b84e05ab2f56ea498cd4db.png)
![](https://img.xkw.com/dksih/QBM/2012/3/23/1570819475595264/1570819481141248/STEM/511bd8816be04761912345347033134f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2012/3/23/1570819475595264/1570819481141248/STEM/e13ac673b48f414c89b11fadfa235ace.png)
![](https://img.xkw.com/dksih/QBM/2012/3/23/1570819475595264/1570819481141248/STEM/356eead0b1a54eda93c9990c9a61dca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2012/3/23/1570819475595264/1570819481141248/STEM/612a1daa3e9b4c369d9c9a2f48a470c9.png)
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