23-24高二上·全国·期末
解题方法
1 . 已知椭圆的左、右焦点分别为
,
,
为椭圆
上任意一点,
为圆
上任意一点,则
的最小值为
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2 . 一圆形纸片的圆心为点
,点
是圆内异于点
的一个定点,点
是圆周上一动点,把纸片折叠使点
与点
重合,然后抹平纸片,折痕
与
交于点
,当点
运动时,点
的轨迹是______ .(只需填曲线的名称)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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解题方法
3 . 已知
是椭圆
上的一点,点
、
分别是椭圆的左,右焦点,点
在
上,且
,那么点
分有向线段
所成的比是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e358672af298d33550cff8f7a893d74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b747db7eaf469c6d1607e4b0d028299f.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da01a3abe1c9dc4e6283afa0dc1a0d39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c6a0064f3eccab14e3687ab1693710a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c8b8bc7e147cae2bab03ba01f14c0aa.png)
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2024高二上·全国·专题练习
解题方法
4 . 设实数
满足
的最小值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6070a8e2371693eced7fcc80fd9ff005.png)
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2024高二上·全国·专题练习
解题方法
5 . 已知点
是椭圆
上的一点,
分别是椭圆的两个焦点,且
,则
的面积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0480543474b295393cc4c4f765df5192.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822beeff2b6ebe476e9af8b59b6dc4b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002ed1ebb2cb936e10ab478789f91c7c.png)
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2024高二上·全国·专题练习
解题方法
6 . 已知椭圆
的左、右焦点分别为
,
,点P是椭圆C上的动点,
,
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c99e8488f37ecf147b0bf7663b66f052.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/e8229141746cc1f0c6555728664e7ec8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0eb0c949089c858f3c3054efc4a3fd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4c5cf272f8c9ef783badf1ae8aaf182.png)
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7 . 方程
表示的曲线是__________ ,其标准方程是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266ed8002a339746965afc42d6ba1dec.png)
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8 . 已知圆锥曲线
的方程:
.当m、n为正整数,且
时,存在两条曲线
、
,其交点
与点
、
满足
,写出满足题意的所有有序实数对
:_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a94555857a26590865f337f8c4a93c37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f219575dd7bb6c3d8912a0d6d81a294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7961cbe98aac6a5fdee94582c341b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b932a4b32849afaf65f0dd998307182.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc31dcdb99754fc452ff2b92a2fb8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0120663dcd4e38ad4b6b3e9cd4dc4e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19eef11535649c4ecd9ce1cd81a10b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2427943a38dcd93c9ec9b735ffc9fe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9e9c1fc961a36de2000e0778a8d534.png)
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2024-01-17更新
|
287次组卷
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名校
9 . 已知点P是椭圆
上的动点,且与椭圆的四个顶点不重合,
分别是椭圆的左右焦点,
为坐标原点,若点
是
的角平分线上的一点,且
则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b747db7eaf469c6d1607e4b0d028299f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94fe48bf7af022ecbbe13833fdcc2c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd938dd4e4d8cac7264575f9e25ab68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0c19fa4cd646f4d877c3e58cc346651.png)
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名校
解题方法
10 . 设椭圆C:
的焦点分别为
,
,过
的直线与椭圆相交于A,B两点,则
的周长为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10596ef6cab7ad6b2939ae3f41e9f968.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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c07ebcbfacda073208d483c58e8a84.png)
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2024-01-13更新
|
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|
3卷引用:四川省广安市华蓥中学2023-2024学年高二上学期1月月考数学试题
四川省广安市华蓥中学2023-2024学年高二上学期1月月考数学试题(已下线)3.1.1 椭圆及其标准方程【第一练】“上好三节课,做好三套题“高中数学素养晋级之路黑龙江省哈尔滨市哈工大附中校2023-2024学年高二下学期开学考试数学试题