1 . 在平面直角坐标系
中,已知
为圆
上两点,点
,且
,则线段
的长的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08227ca941898eb34941f446ca8b1de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115a0c87ac14dbb770c95d74d6e26073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f59747cee312ee5140643428cae79efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
2 . 已知函数
.
(1)当
时,求
的单调区间;
(2)若
是
的极小值点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e0b99093b2f29192833128105c1b35b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-02-17更新
|
1330次组卷
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6卷引用:江苏省扬州市扬州中学2024届高三下学期开学检测数学试题
名校
解题方法
3 . 已知函数
的定义域为
,函数
是定义在
上的奇函数,函数
),则必有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56a8a487b86277897fd4b4f7c1384a0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35c600bfd329fe94045c33e99036381.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-01-30更新
|
817次组卷
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4卷引用:江苏省扬州市扬州中学2024届高三下学期开学检测数学试题
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解题方法
4 . 已知椭圆
的离心率为
,抛物线
在第一象限与椭圆
交于点
,点
为抛物线
的焦点,且满足
.
(1)求椭圆
的方程;
(2)设直线
与椭圆
交于
,
两点,过
,
分别作直线
的垂线,垂足为
、
,
与
轴的交点为
.若
、
、
的面积成等差数列,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e48d1edbfb6a5a48f9a95551d1dbc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c7fc8e284e4aafd93a630d50a53930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212c59b6ab1e256b363fc1f1ff3f5fbe.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/303094682b317daea83be885d1c7ff4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fac56192b8a935a1a0d9ba9ddea0253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50d92d90ae2149f207a6c172fba23ff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb5261a9730779339dc71818b9b6eff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f5c54847fbd176b1e2063a8f2e2d802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-01-25更新
|
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4卷引用:江苏省扬州市扬州中学2024届高三下学期开学检测数学试题
2024·全国·模拟预测
名校
5 . 若
,x,
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef112788c77b8a8293a64ea1d62da2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f370a1d4dd341e5ab1774a66c66c1204.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059d6df06a5b85848dc4fa33327f8e07.png)
A.![]() | B.![]() | C.![]() | D.4 |
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|
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5卷引用:江苏省扬州市仪征中学2024届高三下学期期初调研测试数学试题
江苏省扬州市仪征中学2024届高三下学期期初调研测试数学试题(已下线)2024届数学新高考学科基地秘卷(五)湖南省师范大学附属中学2023-2024学年高三月考(六)数学试题(已下线)微考点1-1 新高考新试卷结构中不等式压轴4大考点总结(已下线)压轴题03不等式压轴题13题型汇总-2
2023·全国·模拟预测
名校
解题方法
6 . 已知双曲线
与直线
交于M,N两点(点M位于第一象限),点P是直线l上的动点,点A,B分别为C的左、右顶点,当
最大时,
(O为坐标原点),则双曲线C的离心率![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13b07c38ef0b4fedfd1507c8eeaa2fa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d513d065fad591a106cca32a25f4d3b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e37c141b5fe7131321df82ce3ac7e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
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解题方法
7 . 已知定义在
的函数
满足以下条件:
(1)对任意实数
恒有
;
(2)当
时,
的值域是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)对任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac829d3069cf983b89b67c73544c8baf.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
则下列说法正确的是( )
A.![]() ![]() |
B.![]() |
C.![]() |
D.![]() ![]() |
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2023-10-12更新
|
1181次组卷
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4卷引用:江苏省扬州市仪征中学2024届高三下学期期初调研测试数学试题
8 . 在成都大学生世界运动会中,甲、乙、丙参加了游泳、体操、足球三个项目,每人参加的比赛项目不同.已知①乙没有参加游泳;②若甲参加体操,则丙参加足球;③若丙没有参加体操,则甲参加体操.下列说法正确的是( )
A.丙参加了体操 | B.乙参加了体操 | C.丙参加了足球 | D.甲参加了足球 |
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解题方法
9 . 根据人教2019版必修一P87页的13题介绍:函数
的图象关于点
成中心对称图形的充要条件是函数
为奇函数,设函数
,
且
.
(1)利用上述结论,求函数
的对称中心;
(2)若对于
,不等式
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82aaa597a5aa6176863eda3fdf83e181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/085bfb527b2456d52d4a62ab68526389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72b58cf73d7deb701f1a91c16d3f7ba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)利用上述结论,求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b71b9fcfca2ad487760d608ff2b50365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1ef26e541d0be72c26e1fd84fa8ddf.png)
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2023-09-25更新
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2卷引用:江苏省扬州市高邮市2023-2024学年高三上学期期初考试数学试题
10 . 已知函数
,若关于
的方程
有
个不同的实根,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96594722374cb2bfe2a7b680aca6a2f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/957dec827318782ae3e0184a47a1dca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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