名校
解题方法
1 . 已知抛物线
的焦点为
,过点
的直线与
交于
、
两点,
在
处的切线与
的准线交于
点,连接
.若
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1584d07b1e2ddc64349f0f5940f3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad24a14d86f127f941db3c3500ef33ac.png)
您最近一年使用:0次
2023-05-18更新
|
1251次组卷
|
8卷引用:四川省泸州市泸县泸县第五中学2022-2023学年高二下学期期末数学理科试题
四川省泸州市泸县泸县第五中学2022-2023学年高二下学期期末数学理科试题四川省泸州市泸县第五中学2022-2023学年高二下学期期末文科数学试题湖北省武汉市武昌区2023届高三下学期5月质量检测数学试题(已下线)专题04 不等式与不等关系(解不等式、基本不等式、线性规划、比较大小)(已下线)考点20 常用的二级结论的应用 2024届高考数学考点总动员【练】(已下线)2.4.2 抛物线的性质(九大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)(已下线)大招24阿基米德三角形(已下线)第20题 抛物线焦点弦、切线方程问题(压轴小题)
名校
解题方法
2 . 已知函数
.
(1)当
时,求
的图像在点
处的切线方程;
(2)若不等式
恒成立,求
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4619cb88411931b6766d9ab1d40516.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd022ef89d2c455596360a9d7740177d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-05-13更新
|
716次组卷
|
5卷引用:四川省泸州市合江县马街中学校2024届高三一诊模拟考试数学(文)试题
解题方法
3 . 已知函数
.
(1)若
单调递增,求a的取值范围;
(2)若
,
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f546bb07de9071e493173efd46cfc4f2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4301a7e059fd495f1d649e5563ce0dfc.png)
您最近一年使用:0次
解题方法
4 . 已知椭圆
的右焦点为
,并且经过点
.
(1)求C的方程;
(2)过F的直线交C于
,交直线
于点N,记
的斜率分别为
,
,
,探索三个数
,
,
是否成等差数列,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d314b47d37c9f58e05ad11f3e68e27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182c81fb1c5e6d1a57a5f34a31ee69a9.png)
(1)求C的方程;
(2)过F的直线交C于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c778e409fe63e187a09444bc888e8f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c420b51aafa5a1be365a2cf4e79592c.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/dbf434334b09cc0fdd4e86e84e6ceb00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e769e2c4c658c63e429e5a8926666504.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5bca1c889e83e1086ea87f868e540af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e14f628b1103d160c21b94bfcb55ae46.png)
您最近一年使用:0次
5 . 已知函数
.
(1)若
在区间(0,1)上存在单调递增区间,求a的取值范围;
(2)若
,
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3f014acf8ab058840a342c17c32bd9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0112226ef7215a7b8cdb7e1922cb8947.png)
您最近一年使用:0次
名校
6 . 设
为坐标原点,
,
是双曲线
:
的左、右焦点.过
作圆
:
的一条切线
,切点为
,线段
交
于点
,若
,
的面积为
,则
的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef74c4299221a967507c6a179337581a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d681f33b330f1cd06756f291c86b70f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d681f33b330f1cd06756f291c86b70f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e8578ba4752b1ffeb70864187eed39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/144cc2e27e23031f8604fb2cb3613ac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-05-08更新
|
1279次组卷
|
9卷引用:四川省泸州市2023届高三三摸文科数学试题
四川省泸州市2023届高三三摸文科数学试题四川省泸州市2023届高三三模理科数学试题四川省乐山市2023届高三三模理科数学试题(已下线)第八章 解析几何 专题2 双曲线方程四川省射洪中学校2022-2023学年高二下学期第二次半月考强基班(理科)数学试题(已下线)考点11 圆锥曲线的定义及其应用(椭圆,双曲线,抛物线) 2024届高考数学考点总动员(已下线)热点7-3 双曲线及其应用(8题型+满分技巧+限时检测)(已下线)2.3.1 双曲线的标准方程(十二大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)(已下线)专题8.3 双曲线综合【九大题型】(举一反三)(新高考专用)-1
7 . 已知函数
有两个零点
、
,函数
有两个零点
、
,给出下列
个结论:①
;②
;③
;④
.其中所有正确结论的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f94f3a99419aed47d9f3ed6e69b1309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627f4b20c831d4ba4b026815b7ccff00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dfff145ed23c57c375bb0dfb781936d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/decb3638024eb0d739ebe47563487179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b91d59a04cf4ca3eae620c5be6a577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca3d5c4bbb9c10d1adfcd0d5a62e6eda.png)
A.①② | B.②③ | C.①②③ | D.①②④ |
您最近一年使用:0次
2023-05-08更新
|
707次组卷
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4卷引用:四川省泸州市2023届高三三模理科数学试题
四川省泸州市2023届高三三模理科数学试题四川省乐山市2023届高三三模理科数学试题(已下线)第三章 重点专攻二 不等式的证明问题(B素养提升卷)四川省射洪中学校2022-2023学年高二下学期第二次半月考强基班(理科)数学试题
名校
8 . 已知
,
,
,则(参考数据:
)( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8765fd52679051a64500908df4286271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b04316f26fbf91fbbae2a3cc6f5ab3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02625b1f0a2fce613a17218d611c5496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f12a76edbb3e98e3ff41c03401769d1c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-04-27更新
|
2833次组卷
|
8卷引用:四川省泸州市龙马潭区2023-2024学年高二下学期5月期中考试数学试题
四川省泸州市龙马潭区2023-2024学年高二下学期5月期中考试数学试题广东省2023届高三二模数学试题(已下线)安徽省“江南十校”2023届高三下学期3月一模数学试题变式题6-10(已下线)专题09 函数与导数-1湖南省长沙市实验中学2023届高三二模数学试题广东省广州市执信中学2024届高三上学期开学测试数学试题(已下线)专题03 函数的概念与性质-2浙江省嘉兴市海盐第二高级中学2022-2023学年高二下学期期中数学试题
9 . 已知抛物线
,焦点为
,过点
作抛物线
的两条切线,切点分别是
,
,已知线段
的中点
,则
的值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf92a1ba410263d4f68b7e0432b19aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50cf40b5e61775e2088abef2ec2c1d22.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d362b9bbf7c1390b003ea3c40493d1d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89490c3078ec513da6e960f01ead99b7.png)
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2023-04-25更新
|
417次组卷
|
3卷引用:四川省泸州市泸县第四中学2023-2024学年高二上学期12月月考数学试题
名校
解题方法
10 . 双曲线C:
(
,
)的两个焦点为
,
,以C的虚轴为直径的圆记为D,过
作D的切线与C的渐近线
交于点H,若
的面积为
,则C的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5076829e649b3f3866d4a7e07a5713e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697c20fca284394bf5d5b9e5f6d952e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92febb64725497dd891a525e6f998e35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5491990cb05c977c2439c008356ce26e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7d63971bb01074b39c1cb6367b9bbf.png)
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2023-04-23更新
|
551次组卷
|
3卷引用:四川省泸县第四中学2023届高考适应性考试理科数学试题