1 . 已知
,则下列结论不恒成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2 . 已知函数
.
(1)讨论
的单调性;
(2)当
,
时,函数
的图象与函数
的图象有两个交点
,
.
①求证:
;
②比较
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5370fc919246e31862b908b13975e4f9.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03b011f69dfc5262a3d82f64676739b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881e1aef1f22f19862b3a0b09cf64efc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ed98e5fc99b56a2766f5c9b411253d6.png)
②比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29a4f3dd93a37f788d565fc7ace0fb27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
您最近一年使用:0次
解题方法
3 . 已知函数
,其导函数为
,下列命题中真命题的序号为________ .
(1)
的严格减区间是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8cdbaa4eca3b791c82c71f2d5d68104.png)
(2)
的极小值是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b929d327ee21d7b778b4b79d1e0eca43.png)
(3)当
时,对任意的
且
,恒有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7dfcd1f6fb35096b0546754337bffcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8cdbaa4eca3b791c82c71f2d5d68104.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b929d327ee21d7b778b4b79d1e0eca43.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24505cd5c1d84ecb57404c645ea44c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e0645538895be974ea5aed888299e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd5f68f8223717c5f9e7a35da919f60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70fb1d8a145512191d73f157dc004fe0.png)
您最近一年使用:0次
2023·全国·模拟预测
解题方法
4 . 已知
,当
时,
恒成立,则b的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab9772e8d199fe629aa2b911921814d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bcea0088eab447966ab6460dbdf1608.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 设
,
为实数,且
,下列不等式中一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da1ee853514dbbacd7f73bc3b299ceff.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
6 . 设数列
是公比为
的等比数列,则“
”是“存在
满足
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d980e239dc5be6b6677b7ce937b4bd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5859e1c0e5547e9410033e555c3dd644.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
名校
解题方法
7 . 已知
,
,则p是q的( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f19c861272db53dc6807d6e79a97478e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2993db0acf8645cae851763025183a62.png)
A.充要条件 | B.充分不必要条件 |
C.必要不充分条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2023-12-09更新
|
537次组卷
|
5卷引用:广东省执信、深外、育才等学校2024届高三上学期12月联考数学试题
广东省执信、深外、育才等学校2024届高三上学期12月联考数学试题广东省深圳市外国语学校高中部2024届高三上学期第四次月考数学试题(已下线)热点1-2 常用逻辑用语与一元二次不等式恒(能)成立(6题型+满分技巧+限时检测)(已下线)广东省汕头市潮阳区2023-2024学年高一上学期1期末教学质量监测数学试题广东省汕头市潮阳区2023-2024学年高一上学期期末考试数学试题
解题方法
8 . 已知实数
、
满足
,则下列不等式正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241b9415a76164563eda432ad6e11f6f.png)
A.![]() | B.![]() |
C.![]() | D.若![]() ![]() |
您最近一年使用:0次
9 . 若实数
满足
,则必有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0400aeaab334078b3b24ae6cde975b2f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
10 . 下列说法正确的是( )
A.若![]() ![]() |
B.“![]() ![]() |
C.若![]() ![]() ![]() |
D.命题“![]() ![]() ![]() ![]() |
您最近一年使用:0次