名校
解题方法
1 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6f84bfab40d601a0294c385a72736db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47db190c531adad5f36a80e8ad72e0ab.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 已知集合
,
.
(1)若
,求
;
(2)若“
”是“
”的必要条件,求实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a97a364fe3348933be396a0261a9e217.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/973e8173f5b67e01f9cebd9d868d3c52.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe344fe369fb629b89eb956c85498ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 . 已知函数
是定义域为
的奇函数,当
时,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b6932e9aaa128eeb1236e9b2ea0ca87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be4e3838d6e4ea8e3defd8401b305774.png)
A.19 | B.![]() | C.1 | D.![]() |
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名校
解题方法
4 . 已知
,
,则下列叙述中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19339e3904e9541ff26b30ae5f1242b2.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() |
C.“![]() ![]() |
D.若![]() ![]() |
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5 . 已知
是定义在
上的函数,且对任意的
,同时满足下列条件:①
;②
,其中
是大于1的常数.记
,且对任意的
,存在常数
,恒有
,则
的一个值是__________ ;若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6343d83fcbf9ef2a2e3d63bcd7bf66.png)
__________
.(用
表示)
![](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/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46074d28f2f23e5026fff76594e32ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b26b0960f01533ae7c120f0d9831392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fafeae53499e1b6935c7f32d0a652516.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b452e6fc74f3fd4dca0d7f68e719261.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1017c3c983d190798812f082957888cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6691894fe61c7e78b94df72b8379130d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6343d83fcbf9ef2a2e3d63bcd7bf66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b63663851c6911a194e531e6e7bd5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 对于任意给定的四个实数
,
,
,
,我们定义方阵
,方阵
对应的行列式记为
,且
,方阵
与任意方阵
的乘法运算定义如下:
,其中方阵
,且
.设
,
,
.
(1)证明:
.
(2)若方阵
,
满足
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e84c30444f13d37ada78285dc4f83b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e76d1d8e50dda4d50229a8a20c57e58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc29ee719feeedfbc8c529cf11348abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e11a5b70e1e2e685d1783a4707872e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ec97af19b15cd584710a3faf30c716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f44b167b4e75af29a18637f71f3ebfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b39fcc210ec89dbc7d684a70a34542c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d17ebf9f595cdb9dab841dec703b512.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16a4ed514630bd37fab9765b3fb5f2cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/709d09c76c222f156df31a1bba5f2ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e4a35eca00ea2f4580d62515d54d5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95035eeae686e910be45f08093e406c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e7d309cb178b71c6e56f5b7f610413.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/109b4ece615b08a89a7f69d436f448b0.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/addb109c49695bce8c5b5cf4fad95772.png)
(2)若方阵
![](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/2221c60bc15c59fa1b3ac74a23b57cdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90fa9bfe3bf3e3b7265da3c49d31f1bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35536fb98d8b24cead230c8df95fd9d3.png)
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3卷引用:2024届河北省保定市九县一中三模联考数学试题
7 . 已知函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc2f69d2d3d82f6a055892a6437965c.png)
A.函数![]() ![]() |
B.函数![]() ![]() |
C.将函数![]() ![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2卷引用:河北省张家口市2024届高三下学期第三次模拟考试数学试卷
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解题方法
8 . 已知正数m,n满足
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49f0974ecbf06e833e087063db169001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
A.5 | B.6 | C.7 | D.8 |
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2卷引用:河北省张家口市2024届高三下学期第三次模拟考试数学试卷
名校
解题方法
9 . 在
中,角A,B,C的对边分别是a,b,c,若
,则
的形状是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6efe67616898149aaaea11ca7a03d063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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202次组卷
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2卷引用:河北省石家庄二十四中2023-2024学年高一下学期期中数学试题
10 . 定义在
上的函数
满足
为偶函数,
为奇函数,且当
时,
.当
时,函数
与
图象的交点个数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e81e15b871dd32b2438ef8025bcc42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e356a6e54a669fda721085096c8416db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08869ffa8b997472fbc4deee60ae0d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facd6be947e37552dfa0565d1f21e380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4eccc8b4cef84da4388fc696fef97a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8898d891410dd22bff5d1d2a3cf340e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2024-06-07更新
|
211次组卷
|
2卷引用:2024届河北省保定市九县一中三模联考数学试题