当正数a为何值时,抛物线
与椭圆
有4个不同的交点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b55eb5ab69b237a6b6622f2d4c92e25b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d8d5807e50717521edde6ded2f5cb6.png)
更新时间:2021-09-25 19:28:33
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解答题-问答题
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适中
(0.65)
【推荐1】已知
为抛物线
的焦点,直线
与
相交于
两点.
(1)
为坐标原点,求
;
(2)
为
上一点,
为
的重心(三边中线的交点),求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa9d20aa61d1f4370934bc12b1713f45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b775e4e52620e32f713a0326776c842b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/658aa70a197c830aa765f2f7ea4c86c5.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](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/4201d3bead2e48cc80052b1418f23db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解答题-问答题
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适中
(0.65)
解题方法
【推荐2】 给定抛物线
是
的焦点,过点
的直线
与
相交于
两点.
(1)设
的斜率为
,求
与
夹角的余弦值;
(2)设
,若
,求
在
轴上截距的变化范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86c3a6c9f1c80243f9f844806f120bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dfde0038de382d2be9701cea23ef7eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/329fdf7d989f77a32ca9e0361a9cc956.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa0656b687ddb8459e1c027e4961e4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dcbf514a14659715410535130964593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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解答题-问答题
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适中
(0.65)
名校
解题方法
【推荐1】已知椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d72a07a4e5acfc140a3cea1f26b951.png)
的离心率为
,
,
是椭圆的两个焦点,P是椭圆上一点,且
的周长是6.过点
的直线l与椭圆C交于点A,B,点B在A,M之间,又线段AB的中点横坐标为
.
(1)求椭圆C的标准方程;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d72a07a4e5acfc140a3cea1f26b951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2080eb912204afa61eacb971b7593438.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27a0685db3b7c61eed9c7069efa6a150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa5a1a2ee471c67aa5264c0991d05421.png)
(1)求椭圆C的标准方程;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/965988358053ed8c500814133cec14ea.png)
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【推荐2】已知椭圆
的离心率为
.
(1)求椭圆的标准方程;
(2)当焦点在y轴上时,A、B是椭圆与x轴的交点,
是椭圆上异于A、B的任意点,
、
分别是PA、PB的斜率.求证:
是定值.当
时,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1cb3e9f0e345fc8b59ddf03db472d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9868f77d5ab5073b6145f1c6d272122e.png)
(1)求椭圆的标准方程;
(2)当焦点在y轴上时,A、B是椭圆与x轴的交点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4757181824e15e0f21e5bdd55448783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a88585b01bf82d7e42202b0121ead27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69e3f7ddd51215d00661c09cd900d60.png)
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