1 . 解下列关于x、y、z的方程组:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd00923d5a8e5670674429cce415b98.png)
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解题方法
2 . 已知函数
是定义在
上的单调函数,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb6c02e1e610bb662d183d6c57b8d7a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92682840e2a230de346562b2032f8adb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知
,(
,
,
),且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
___________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75216568cb4d59140c9b2597980e5b17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61e241c6c220b3b4705a8c1a465d7b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12b0e3b00fe47801afb53ec56706c21a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/759b7e549689ddaaedc917af73b7f902.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
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4 . 规定
表示取
、
中的较大者,例如
,
,则函数
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065f8a641aab5c39f73be89a6f2e7a65.png)
![](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/618a5dd60c256d19eaddfc526ce0f080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8a95321ae7c99ea1a62eff1446dc80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1266bc65c3f4e758b631e3f3bd919493.png)
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5 . 下列函数中,在R上单调递增的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 已知一次函数
,且
,设
.
(1)求函数
;
(2)设函数
,求函数
在
上的最大值
的表达式;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a261e1d5eea492aa74d6eca801b2dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/462cbd881599f59d51e8a24a07bb9eaf.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e711eba21892953ca759e5ab9414506a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb37d173605f006df4c51ba63b1841d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae4b8114fcc770a8512cf03da137ca4e.png)
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2022-11-07更新
|
175次组卷
|
2卷引用:贵州省贵阳市第一中学2022-2023学年高一上学期第一次摸底考试数学试题
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解题方法
7 . 设函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/92cae942-5c13-4214-8f9d-c15ecc6c3045.png?resizew=168)
(1)当
时,在平面直角坐标系中作出函数
的大致图象,并写出
的单调区间(无需证明);
(2)若
,求函数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afdd9c055d2a0a01199692a2dfbee330.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/92cae942-5c13-4214-8f9d-c15ecc6c3045.png?resizew=168)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2bb00228e4e58363598fe3dd6efa945.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2022-10-28更新
|
111次组卷
|
2卷引用:安徽省淮南市部分学校2022-2023学年高一上学期10月联考数学试题B
8 . 已知
,则
的最大值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e8cbd2870d3b6372609f82c491a803.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c69601415aff5dd2d9fee2ba26f81c.png)
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9 . 已知
,则不等式
的解集为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c16dd5d855df241d4984f43ce057951c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90f581b04dd480d7b409bed4b9f2f9a3.png)
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10 . 函数
的对称中心为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/361412132e86499ccbb04373528c0f5d.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ccf47ca98eb096f4a8a9f6f10033f98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c52a2eb99e82145022e49f105fe731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/361412132e86499ccbb04373528c0f5d.png)
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