解题方法
1 . 已知双曲线
经过点
,两个焦点为
,
.
(1)求
的方程;
(2)设
是
上一点,直线
与直线
相交于点
,与直线
相交于点
,证明:当
点在
上移动时,
为定值,并求此定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d51e4417bbd9d48f11acc54a5215588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f349b9578f4834dd2ed1cab4d2fcf424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/813f9a2814013e2407b5b1c216159359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16fd15503ee692f8286b0312f7c6f0cd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/021bcc5ea186cd32c39b3d333b0f448c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deebe02b2b96d015f33ca1f6be9cead4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d599059e6b2c918ab15ee22611b6962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de3404af80900bdb117c8eb9c2fdddc.png)
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解题方法
2 . 已知定点F(3,0)和动点P(x,y),H为PF的中点,O为坐标原点,且满足
.
(1)求点P的轨迹方程;
(2)过点F作直线
与点P的轨迹交于A,B两点,点C(2,0).连接AC,BC与直线
分别交于点M,N.试证明:以MN为直径的圆恒过点F.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4ef409e64263340ace2b688ec1517e.png)
(1)求点P的轨迹方程;
(2)过点F作直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b028286277ca44bf85a50ef447dbfd6.png)
您最近一年使用:0次