1 . 定义域为
的函数
恰有一个零点,则实数
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b36f4f3457fb149ceb3e21dd5b6f980c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
2 . (1)已知关于
的不等式
的解集为
,则当
时,求
的取值范围;
(2)已知函数
的定义域与函数
的值域的交集不为空集,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/242dadd89d21db43b8a2b19282d933f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a25bd29de8997062156ad53d37fce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6dae60fa2fda336bf9c1b76d7de9a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c54705d32dc6820f1a90eec2225dcf.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f2285b4bf3b4047fc11238de34b61b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/472565df931592d044c2efb315e1b75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
3 . 已知函数
为奇函数,且
图象的相邻两对称轴间的距离为
.
(1)若
,求函数
值域;
(2)若
,把方程
的根从小到大排列,记为数列
,求
的前20项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02d44b539b3971c246b41c59f0eb2d15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a294c90ed2b00026e5f055f829d7b55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b2a8bfaab21b4dd52175cb60d8b9f70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74609b6a7c7bc96bab92ff2573a089d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a27c112387e56c976489fa484c0d48f.png)
您最近一年使用:0次
解题方法
4 . 对于数列
,定义
为
的“优值”,若
,记数列
的前
项和为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf5b69f2170c1971c47f5a4a05ac9dc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5638e3271b067ad7bc16a7846c44b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/693fc49ec083d575d3673d41c92c8c59.png)
A.1012 | B.2020 | C.2023 | D.2025 |
您最近一年使用:0次
5 . 已知向量
,则“
或
”是“
与
的夹角为钝角”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a15a1f3f43ff5b0dc15123748b6e36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6057df53aac56374ddf8146623f64678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22857b6d571d49dd4e0f05dc45b5b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
A.充分不必要条件 | B.必要不充分条件 |
C.既不充分也不必要条件 | D.充要条件 |
您最近一年使用:0次
解题方法
6 . 已知正方体
的棱长为1,若点
在线段
上运动(不含端点),则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
A.直线![]() ![]() |
B.![]() ![]() |
C.三棱锥![]() ![]() ![]() |
D.当![]() ![]() ![]() |
您最近一年使用:0次
7 . 已知数列
满足
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3c23b8294ac336c5e5c1bbbcd79966e.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.![]() ![]() ![]() |
您最近一年使用:0次
解题方法
8 . 已知
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7dbc702617c765a573961953cc0901.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
9 . 若复数
满足
(其中
为虚数单位),则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b9119811ee602f658711b1a8803efca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
10 . 已知
内角
的对边分别为
,面积为
,且
.
(1)求角
;
(2)已知
,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddfa3ea35919c54fa27a8650d4739e14.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a248ba99b71d2ad9563f2fa0ad9cd66b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次