解题方法
1 . 设函数
且
.
(1)若
,解不等式
;
(2)若
在
上的最大值与最小值之差为1,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7c2b3329b1aed07e6bb17436dea5d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f89cb7e17817000376139e367f4a2e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d9673a2a09feadf0172b1cfe54be7a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-02-17更新
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3卷引用:内蒙古赤峰曾军良实验学校(赤峰四中桥北新校)2023~2024学年高一下学期5月月考数学试卷
解题方法
2 . 已知
(1)判断并证明函数
的奇偶性;
(2)在下面坐标系中画出函数图象,并写出单调区间(无需证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/468d3744c71c9f2fcde23342b7444f27.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/15/fbf0d594-6609-479d-a41b-9f6b69cdc8fd.png?resizew=195)
(1)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)在下面坐标系中画出函数图象,并写出单调区间(无需证明).
您最近一年使用:0次
解题方法
3 . 已知定义在
上的函数
在
上单调递增,若函数
为偶函数,且
,则不等式
的解集为_____ .
![](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/7c36c3781d5caf82f3749cd503d23ad6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7661d3fc28f785b438ad8c8f9d240a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fceb969de98e32f56f9610c213823489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39620429c511534bfaa25ead63cd308d.png)
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4 . 下列命题是真命题的是( )
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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2024-02-12更新
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310次组卷
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3卷引用:内蒙古赤峰市2023-2024学年高一上学期期末考试数学试题
名校
解题方法
5 . 已知
,不等式
的解集是
.
(1)求
的解析式;
(2)不等式组
的正整数解仅有
个,求实数
取值范围;
(3)若对于任意
,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab93efd42a3054040ccff8adf697c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef43138b72a4bed78baa9f84f8d46867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5511a368692de27c58ec48ce968de4a4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a531df64ff93e8e4b42f3775ef6632.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24aa16b780156e18f12baa2b8ee0f9a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f71c86146c034a19e935dd337223c2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2024-02-11更新
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2卷引用:内蒙古自治区赤峰市红山区2023-2024学年高一上学期期末学情监测数学试卷(A)
解题方法
6 . 已知函数
.
(1)解不等式
;
(2)设
,
,若对任意的
,存在
,使得
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/225b3f5420702ef138a240e4be339906.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d0097ee60601a255cea0995936c1d0.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e111595ac59e1fb558b6a465a02829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a2465934136ed4b8f64525875cf4d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bb0e58e4624e55e4c5b880b84652220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f679ba64842ccb47875bca7f66ca1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174426520dc1b3bbc366bca4deaa664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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7 . 已知函数
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d577d0a3279470fbfb25c7b051f800e.png)
A.若![]() ![]() |
B.![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
名校
解题方法
8 . 如图,正方形
的边长为
,点W,E,F,M分别在边
,
,
,
上,
,
,
与
交于点
,
,记
.
的面积为
的函数
,周长为
的函数
,
(i)证明:
;
(ii)求
的最大值;
(2)求四边形
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/399e7902cf319a4ecc40aebda074eda4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e6a56e600facb7fbc764ca30df94cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a1767d0189b880f3e88dfd7734315fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b46c607b3deac746c0ef3389ad8f65c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bd46fa96457001cfff7fc5dd49898f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4901a7eda97d6a307db76c4fb196ba3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc761c3cacbd33884eb2fcd32db72643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b723326b1d59ee18d42001987aaee091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(i)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a33c392fc16e95f3e0941a2f5947bc9.png)
(ii)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)求四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a099343653ac9e68e3ef0c50d38f4191.png)
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2024-02-06更新
|
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7卷引用:内蒙古赤峰二中2023-2024学年高一下学期第一次月考数学试题
内蒙古赤峰二中2023-2024学年高一下学期第一次月考数学试题山东省青岛市2023-2024学年高一上学期(期末)选科测试数学试卷(已下线)1.8 三角函数的简单应用-同步精品课堂(北师大版2019必修第二册)(已下线)第八章:向量的数量积与三角恒等变换(单元测试)-同步精品课堂(人教B版2019必修第三册)广东省佛山市顺德区容山中学2023-2024学年高一下学期3月月考数学试题四川省南充高级中学2023-2024学年高一下学期第一次月考(3月)数学试题(已下线)专题7 圆的包含问题
9 . 已知函数
,若方程
有4个不同的实根
,
,
,
且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5bcf5a869a06353ec1608d68848ea5.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c065f976420fa56a988aa299a8f7547.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f62acf7b2e380cd659f33f503a2a74d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5bcf5a869a06353ec1608d68848ea5.png)
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2卷引用:内蒙古自治区赤峰第四中学2021-2022学年高一上学期期中考试理数试题
名校
10 . 计算下列各式:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e5524832c17e2c8cf9750894b48adfe.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8f17e70a5aa94ebc9798beb27d154f4.png)
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