1 . 已知动点P到直线
的距离是P到点
距离的2倍,点P的轨迹记为C.
(1)证明:存在点
,使得
为定值.
(2)过点F且斜率
的直线l与C交于A,B两点,M,N为x轴上的两个动点,且
,
,若
,求k.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ba2238d6afe0187534155dd9ac48c6.png)
(1)证明:存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e55590555905eb4f57889bbd16e39a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ed50b7ddc736c4a2fad6a58135e03f.png)
(2)过点F且斜率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d99e9ab44437147165c319705daad0fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/339f691f01e9fb0e30570d5daad31002.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0dc4ea85e09c94960e4f1c20657e117.png)
您最近一年使用:0次
2023-01-09更新
|
412次组卷
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4卷引用:甘肃省靖远县第一中学等2校2023届高三上学期期末理科数学试题
解题方法
2 . 已知P为曲线C上一点,M,N为圆
与x轴的两个交点,直线
,
的斜率之积为
.
(1)求C的轨迹方程;
(2)过点
的直线与C交于A,B两点,若
,求λ的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78fd95f89dec2d373fa57f02acd739f.png)
(1)求C的轨迹方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a1a980c785c9be3f3b0ac659c5af78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6d61770b499516208bc11f69eb21739.png)
您最近一年使用:0次