名校
解题方法
1 . 已知圆
:
与圆
:
,点A,B圆
上,且
,线段AB的中点为D,则直线OD(O为坐标原点)被圆
截得的弦长的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c560968a9e9443bec3accf223c1974.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331b843ef4e836dc729ca38b2aaefdf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699fc9b7e879af4866aaa07848dfb423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
您最近一年使用:0次
2022-12-22更新
|
869次组卷
|
8卷引用:湖北省部分学校2022-2023学年高三上学期12月联考数学试题
湖北省部分学校2022-2023学年高三上学期12月联考数学试题广东省2022-2023学年高二上学期12月质量检测联考数学试题云南省名校联盟2023届高三上学期12月份联合考试数学试题山东省2022-2023学年高二上学期12月质量检测联合调考数学试题吉林省部分学校2022-2023学年高三上学期12月大联考数学试题山东省济宁市邹城市2022-2023学年高二上学期期末数学试题(已下线)特训01 期末选填题汇编(第1-4章,精选60道)-2023-2024学年高二数学《重难点题型·高分突破》(人教A版2019选择性必修第二册)(已下线)专题1 直线与圆的位置关系【练】(压轴小题大全)
名校
2 . 已知函数
.
(1)记集合
,若
,求证:
;
(2)设函数
,若存在实数
,使
,求实数
取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041d7fe67bbac3c33cf518b569e0db62.png)
(1)记集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8ceab71f602458b1ef071c778ff31f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f586ebc64ac4c87b1ceed35c8bdb7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530d3bb7d7268d51194c09198531f19a.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f750d5d121271c431f35164f2f87212c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebc9176a9d1bf52fd1b4e58b88c46032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2022-12-18更新
|
820次组卷
|
2卷引用:湖北省武汉市2022-2023学年高一上学期期末模拟数学试题(五)
名校
3 . 已知函数
满足
当
时,
已知
函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b22456502546ea72b7ba9a0a1fed5356.png)
(1)求实数m的值;
(2)当
时,求
的解析式;
(3)设
,若
求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/198beddad67cf13acf090a354a8b9e7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3606fd3966dc72e0f8a32047945a86e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6c27da5cf03d02725d2d54a259db768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715a3c3d80966d844eccf6b85109f801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b22456502546ea72b7ba9a0a1fed5356.png)
(1)求实数m的值;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3fb1789759ba3535a3975bed250da89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/919684b93269da880981ddaa675cac35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4a64771aa2c2a4af027cadbe9ed7c6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2022-12-16更新
|
1506次组卷
|
2卷引用:湖北省华中师范大学第一附属中学2022-2023学年高一上学期期末模拟数学试题(二)
名校
解题方法
4 . 已知函数在区间
上的最大值为
,最小值为
,令
,则下列结论中正确的是( )
A.![]() |
B.当![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
2022-12-16更新
|
1561次组卷
|
6卷引用:湖北省华中师范大学第一附属中学2022-2023学年高一上学期期末模拟数学试题(二)
湖北省华中师范大学第一附属中学2022-2023学年高一上学期期末模拟数学试题(二)湖北省2023-2024学年高一上学期期末考试冲刺模拟数学试题(02)第10章《三角恒等变换》单元达标高分突破必刷卷(培优版)江苏省南京市中华中学2022-2023学年高一下学期3月综合练习数学试题辽宁省大连市大连育明高级中学2022-2023学年高一下学期期中数学试题(已下线)第10章 三角恒等变换 单元综合测试(重点)-《重难点题型·高分突破》(苏教版2019必修第二册)
名校
解题方法
5 . 已知函数
.(参考值:
)
(1)证明:
在
上有唯一的极小值点;
(2)试研究
零点的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/441141447a205a28ef55650ec077e1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e113aeb262a237b6d3189f1d037e87.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f00f2f6ab162f9333ec55db195d663b.png)
(2)试研究
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
6 . 已知椭圆
的焦距为
分别为左右焦点,过
的直线
与椭圆
交于
两点,
的周长为8.
(1)求椭圆
的标准方程;
(2)已知结论:若点
为椭圆
上一点,则椭圆在该点的切线方程为
.点
为直线
上的动点,过点
作椭圆
的两条不同切线,切点分别为
,直线
交
轴于点
,记
的面积分别为
.
(i)证明:
为定点;
(ii)设
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d72a07a4e5acfc140a3cea1f26b951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eaea588ead0c756f8b5f300c2c8647a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/f4b5c81ee16e93e9822c4dc54c362cb3.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知结论:若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b4f86e48e2b0d63c1865c60ed1e4d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a9656735f55e5de465e5667ba578d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/224d30ca84f1aeeeda7a718e751a4925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ea08ba93f147924799fd4e9d70888b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3637753af5ce86be9c23a9beb6b5067.png)
(i)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(ii)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27bff1685333ffcdec580bb2812c752c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
您最近一年使用:0次
7 . 已知函数
,
是
的导函数.
(1)若关于
的方程
有两个不同的正实根,求
的取值范围;
(2)当
时,
恒成立,求
的取值范围.(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42fe84ecdcafb66c2e3a4dd702503729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868a4cf0549507ca5f2a18b2d1070085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62195f20fc105ce8bb8d8504ee221cc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59004c5916a745f186e0bd66aa3bca2.png)
您最近一年使用:0次
2022-12-15更新
|
532次组卷
|
5卷引用:湖北省部分学校2022-2023学年高三上学期12月联考数学试题
名校
解题方法
8 . 已知函数
.
(1)若
且函数
在
上是单调递增函数,求
的取值范围;
(2)设
的导函数为
,若
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5633e40c35e8be1db5361044bfd74ac.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72728cdc6b1c5521eeba55ca804d2d74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfe299acc679f151fbe61ecda04d1662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8a229cc42ec3bc9c5e68523cf5ebbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04bbbf510a09b09b85a0cefb9202d13e.png)
您最近一年使用:0次
2022-12-09更新
|
1743次组卷
|
6卷引用:湖北省十一校2023届高三上学期12月第一次联考数学试题
名校
解题方法
9 . 已知椭圆
:
的长轴长为
,离心率为
,斜率为
的直线
与椭圆
有两个不同的交点A,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求椭圆
的方程;
(2)若直线
的方程为:
,椭圆上点
关于直线
的对称点
(与
不重合)在椭圆
上,求
的值;
(3)设
,直线
与椭圆
的另一个交点为
,直线
与椭圆
的另一个交点为
,若点
,
和点
三点共线,求
的值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174142f3bba761585b6bc2653009b36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aeabebd5bd9968bf5604ae1243476b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258b761f7186572cbc5e84202498e300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328aaba77106396d4ca644c8b7a352e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/5a94b5cff078087522057ecfa50062b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2022-12-07更新
|
1543次组卷
|
6卷引用:湖北省新高考联考协作体2022-2023学年高二上学期期末模拟数学试题
湖北省新高考联考协作体2022-2023学年高二上学期期末模拟数学试题(已下线)期末押题预测卷01(范围:选择性必修第一册、数列)-【单元测试】2022-2023学年高二数学分层训练AB卷(人教A版2019)上海市松江区2023届高考一模数学试题上海市格致中学2022-2023学年高二下学期期中数学试题上海市部分学校2024届高三上学期开学暑假作业检测数学试题(已下线)重难点突破10 圆锥曲线中的向量问题(五大题型)
名校
10 . 如图,已知正方体
的棱长为1,点M为棱AB的中点,点P在侧面
及其边界上运动,则下列选项中正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/4/11061613-74a7-462e-a585-609d016e96f8.png?resizew=159)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/4/11061613-74a7-462e-a585-609d016e96f8.png?resizew=159)
A.存在点P满足![]() |
B.存在点P满足![]() |
C.满足![]() ![]() |
D.满足![]() ![]() |
您最近一年使用:0次