已知椭圆方程为
,过其下焦点
作斜率存在的直线
与椭圆交于
、
两点,
为坐标原点,则
面积的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f642cc82f9cb94f68265b4ec78f8c2.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd2981bf2261343f905ec1b5355a3c4.png)
2020·江苏·一模 查看更多[4]
(已下线)学科网3月第一次在线大联考(江苏卷)(理科)(已下线)理科数学-学科网3月第一次在线大联考(江苏卷)文科数学-学科网3月第一次在线大联考(江苏卷)(已下线)对点练55 直线与椭圆位置关系-2020-2021年新高考高中数学一轮复习对点练
更新时间:2020-04-02 16:39:36
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解题方法
【推荐1】我们把由半椭圆
与半椭圆
合成的曲线称为“果圆”,其中
,如图.设
,是“果圆”与坐标轴的交点,C为半椭圆
上一点,F为半椭圆
的焦点.若
,则“果圆”的内接矩形面积的最大值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ecbae77fa07c2d628be68f97216a54e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d2d54487967348ae2184c23679ee76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3bf4fb421f938834bc07461351aae5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f27a88ecd784a5b166031b7b3456ee64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/522230546d4b802094e86ceb48c2ba38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/522230546d4b802094e86ceb48c2ba38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557062e39929b0ac467c3bbdeb078922.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/28/0c7a1708-72d4-4d38-960d-754722f1535c.png?resizew=155)
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【推荐2】如图,
、
是椭圆
与双曲线
的公共焦点,A、B分别是
、
在第二、四象限的交点,若
,则
与
的离心率之积的最小值为______ .
![](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/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a89001a33fce9032328cb7e86465e57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/14/91efba86-4fd4-45e7-9fb8-dd8a45d46fa0.png?resizew=193)
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【推荐1】设椭圆
的左焦点为
,直线
与椭圆
交于
、
两点,则
周长的取值范围是_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4402aeb853b22f20992156957ef0fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca8b6ac96dfe0046b7ca1745176ca22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/4139b091e9dc432b267ff68420c77de4.png)
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【推荐2】已知点P(0,1),椭圆
(m>1)上两点A,B满足
,则当m=___________ 时,点B横坐标的绝对值最大.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50748ec646e9cdf744978166621eb924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe51a2c12e6f14dea578d8adf9f81fd.png)
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