1 . 已知动点
分别与定点
和
连线的斜率乘积
.
(1)求动点
的轨迹
;
(2)设点
位于第一象限,
是
的右焦点,
的平分线交
于点
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913f78382630e50543e5f7192cae3ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c850811ba59a05e945a665196539a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb94a19cdb2aa5f72f2dbbae696af0e.png)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ec7243073566a0ab60a58271970f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b4c2719f4a59b31241e86914f7e128f.png)
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名校
解题方法
2 . 以点P为圆心的圆过点
,且与直线
相切,记点P的轨迹为C.
(1)求C的方程;
(2)设过点
的直线与C交于M,N两点,T是直线
上任意一点,证明:直线TM,TH,TN的斜率成等差数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
(1)求C的方程;
(2)设过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d196d17bd2569f9e99a945809d08599b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a089c207e39a24d0d82aa853ac2bbb8c.png)
您最近一年使用:0次
2022-08-22更新
|
303次组卷
|
2卷引用:江西省宜春市清江中学2024届高三上学期期中数学试题
20-21高二上·江西南昌·期中
名校
解题方法
3 . 如图,P为抛物线
上在x轴下方的一点,直线
与抛物线在第一象限的交点从左到右依次为A,B,C,与x轴正半轴分别相交于点M,N,Q,且
,直线
的方程为
.
![](https://img.xkw.com/dksih/QBM/2020/12/7/2609006243061760/2609268308148224/STEM/6adac7a9-deed-4819-a429-72b711b3e8c6.png?resizew=206)
(1)当
时,设直线
的斜率分别为
,证明:
;
(2)记点A、C到直线
的距离分别为
,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bb1063e139610045f3bca5ca0b2766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b397351a9338ba39baef3850d780221e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eaa224254a49065d213ca3a2f75f0db.png)
![](https://img.xkw.com/dksih/QBM/2020/12/7/2609006243061760/2609268308148224/STEM/6adac7a9-deed-4819-a429-72b711b3e8c6.png?resizew=206)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a369ce3949b2bd2747a48054f7b951c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1443bfe022f648f813fb1e15b2d78b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2491bfedb5a5beabde4578b1925c7a59.png)
(2)记点A、C到直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edf900c810371fb21297c15f86d8743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31ac1def558351e2e3ed1235c570530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d3079cd2cfe2309f4ba356f8d77668c.png)
您最近一年使用:0次
名校
4 . 在直角坐标平面上,点
的坐标满足方程
,点
的坐标满足方程
则
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5384def07c4e8eb159c899bc4ab7752.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8544f8483269db90305fa747eeac8b4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e1680751cc7073c344cc913807af20f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27bc5d726ad7293a131468b48b72c47d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-01-21更新
|
2029次组卷
|
8卷引用:江西省南昌市第二中学2020-2021学年高二上学期期中考试数学(理)试题
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