名校
解题方法
1 . 已知椭圆
的上顶点为
,左、右焦点分别为
,
,离心率
的面积为
.
(1)求椭圆
的标准方程;
(2)直线
与椭圆
相交于点
,则直线
的斜率分别为
,
,且
,则直线
是否经过某个定点
?若是,请求出
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.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/4473166ff6a7cf58484d0920919f90e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cefc3d799ca0b4b14e4cc3d24459a19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa154ac33703b5c836047b2143697c6d.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/1ae3ab048431fdc75f9a2eef2a762f37.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/5963abe8f421bd99a2aaa94831a951e9.png)
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2023-12-28更新
|
1541次组卷
|
6卷引用:宁夏回族自治区银川市银川一中2024届高三上学期第六次月考数学(文)试题
宁夏回族自治区银川市银川一中2024届高三上学期第六次月考数学(文)试题宁夏回族自治区银川市银川一中2024届高三上学期第六次月考数学(理)试题2024届四川省成都市成华区某校高三上学期一模数学(文)试题(已下线)模块五 专题4 期末全真模拟(能力卷2)期末终极研习室(高二人教A版)(已下线)每日一题 第23.题 存在问题 结论先行(高二)广东省中山市中山纪念中学2024届高三上学期第二次调研数学试题
名校
2 . 已知函数
,
.
(1)讨论函数
的单调性;
(2)若
,不等式
恒成立,求整数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec528c14343ba3d242709bacb36fc0b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f48e946b26bc186a4b9317a8a34b13f8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6422b9c2e93a91fe9e39ce4d9dabb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
3 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2567f2745958d155561723a7e071a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)求曲线
在
处的切线方程![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
(2)若函数
在区间
上恰有两个不同的零点,求实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2567f2745958d155561723a7e071a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8263a5d5f0d9f2101a23efbc49f69e6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f0a7f52eb82472cce50381cbed1c16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
4 . 已知函数
.
(1)当
时,讨论函数
的单调性;
(2)若函数
有两个不同的极值点
,求证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53f2833c86b4a21cfb25ec445b66fc4a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b64b1a6ad90a44dd02e91a62f2c0364.png)
您最近一年使用:0次
5 . 已知函数
,
.
(1)若
,讨论函数
的单调区间;
(2)若
有两个零点,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd51a3ec4ffe59f141ee04a42abb3a5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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名校
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40ee9c0f04e293731eee46f75154dd35.png)
(1)当
时,求函数
的单调区间;
(2)求证:当
时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40ee9c0f04e293731eee46f75154dd35.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8ce6ec79cf1568f4c3b9c8904cb3f5c.png)
您最近一年使用:0次
2023-08-27更新
|
936次组卷
|
5卷引用:宁夏固原市第五中学2024届高三上学期第二次月考数学(理)试题
名校
解题方法
7 . 在平面直角坐标系
中,椭圆
的上焦点为
,且
上的点到点
的距离的最大值与最小值的差为
,过点
且垂直于
轴的直线被
截得的弦长为1.
(1)求
的方程;
(2)已知直线
与
交于
两点,与
轴交于点
,若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f04443a0c1cf4808aea741c9f9379b2.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/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffecff6a416ff88fa84767c40919f1b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535609a332086aedbdf3514fe18e7349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
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解题方法
8 . 已知椭圆
经过点
.
(1)求
的标准方程;
(2)过点
的直线
交
于
两点(点
在点
的上方),
的上、下顶点分别为
,直线
与直线
交于点
,证明:点
在定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808eb66c81c7caa7df8cd77fb2c9a6b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/508818c7d508fd01e85ff618c0194b70.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d8923a8755672d72ac0f3495155872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
您最近一年使用:0次
2024-01-16更新
|
305次组卷
|
6卷引用:宁夏回族自治区2023-2024学年高二上学期期末测试数学训练卷(二)(范围:选择性必修第一册 第三章+选择性必修第二册 第四章)
宁夏回族自治区2023-2024学年高二上学期期末测试数学训练卷(二)(范围:选择性必修第一册 第三章+选择性必修第二册 第四章)江苏省连云港市2023-2024学年高三上学期期中数学试题(已下线)第08讲:圆锥曲线(大题) (必刷7大考题+7大题型)-2023-2024学年高二数学上学期《考点·题型·难点》期末高效复习(人教A版2019)河北省部分高中2024届高三上学期期末数学试题四川省南充市嘉陵第一中学2023-2024学年高二下学期第三次月考(5月)数学试题(已下线)2024年高考全国甲卷数学(理)真题平行卷(提升)
9 . 已知函数
.
(1)讨论
的单调性;
(2)当
时,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cc632a4a6823c01d83aeac639b44167.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0326e1c7e9f94fa45fc60dbc8ffa231a.png)
您最近一年使用:0次
10 . 已知函数
.
(1)讨论
的单调性;
(2)若存在
,使得
,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a81cd9fe7319a902e46998c3f8bdb79f.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c4b27524cee9197557b528bcf536b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2b6f8a020f03248b1d19f418f63e10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次