名校
解题方法
1 . 已知斜率为1的直线
与椭圆
:
交于
,
两点,线段
的中点为
.
(1)求
的离心率;
(2)设
的左焦点为
,若
,求过
,
,
三点的圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5df90497fae2eee9c7c8e7ce3c180d46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaec9652b2fbd376b9f5eb133b5a6227.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f55eaa7313bcbb555d50b206408ff4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
您最近一年使用:0次
2024-01-12更新
|
821次组卷
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2卷引用:重庆市第八中学校2024届高三上学期一诊适应性考试数学试题
2 . 已知椭圆C:
的长轴长为4,离心率为
,A,F分别为椭圆C的左顶点、右焦点.P,Q为椭圆C上异于A的两个动点,直线AP,AQ与直线l:
分别交于M,N两个不同的点.
(1)求椭圆C的方程:
(2)设直线l与x轴交于R,若P,F,Q三点共线,求证:
与
相似.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
(1)求椭圆C的方程:
(2)设直线l与x轴交于R,若P,F,Q三点共线,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1511281590030d7c754c0c6a6bb77f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260b6bc61da3f8bf314a388f558cde7c.png)
您最近一年使用:0次
名校
解题方法
3 . 已知椭圆
的离心率为
,且过点
,点O为坐标原点.
(1)求椭圆C的方程;
(2)椭圆C上的动点M,P,Q满足直线
的斜率互为相反数,且点M不在坐标轴上,设直线
的斜率分别为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e501efaf72113fc8ee3d495004fa980.png)
(1)求椭圆C的方程;
(2)椭圆C上的动点M,P,Q满足直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/592b4967f670b263ea9331370bc46940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df462d47fbca60c1321bc8fae66728dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4757181824e15e0f21e5bdd55448783.png)
您最近一年使用:0次
2023-01-09更新
|
918次组卷
|
2卷引用:重庆市2023届高三第一次联合诊断【康德卷】数学试题