名校
解题方法
1 . 如图,
是边长为2的正三角形,记
位于直线
左侧的图形的面积为
.
(1)求函数
解析式;
(2)若
时,
成立,则当正实数
满足
时,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfbd58a9596f66af9c26b1c8a0e9f105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c8ca569e742d9eeee3b85f61bd8e17.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/9/a7316f09-d763-41d0-8c82-baa0242b638a.png?resizew=161)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c8ca569e742d9eeee3b85f61bd8e17.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8923e03a400252b0462268489bcef9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2958749be01568ca0485e3537e138697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23d61fa764dd343d2e97780a83afb7c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc176569ec8d428788cda28f6cac07a.png)
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名校
解题方法
2 . 下列函数
与
表示同一函数的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
3 . 对
,
,记
,则函数
的最小值为 __________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19339e3904e9541ff26b30ae5f1242b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd1a047dd9d765dc82f2f763caac067e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d428a93b139b018801310ca3fb07ab.png)
您最近一年使用:0次
2024-04-02更新
|
380次组卷
|
2卷引用:陕西省宝鸡市宝鸡中学2023-2024学年高一上学期期中考试数学试题
解题方法
4 . 定义
,设函数
,
;记函数
,且函数
在区间
的值域为
,则区间
长度的最大值( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9066b0b0e2190facf113b8931376f3fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df18da1ecd1a83afc4544ee71f00c56b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34fd135540109c4f0bca65ebef5e8c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d8301526d58cd3a6bb7c8fdd207b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
A.1 | B.![]() | C.![]() | D.2 |
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解题方法
5 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5879073cf4b9fc24612a595699d0b28.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/752f8a28387646d74d78a42fd95c012e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5879073cf4b9fc24612a595699d0b28.png)
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6 . 求函数
的定义域为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de9089cb949842d9f29d3461dda86329.png)
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7 . 已知函数
的定义域为
,则函数
的定义域为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58431e36c32c12bf5af2219ab219ae68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46837e2d6758fdd1c415d23db36f4b65.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
8 . 已知函数
.
(1)若函数
,
,是否存在实数
,使得
的最小值为
?若存在,求出
的值;若不存在,说明理由;
(2)若函数
,是否存在实数
、
,使函数
在
上的值域为
?若存在,求出实数
的取值范围;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec84404bbf6cf4a9d992e1760dcfdd4.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c18bded9335c6a27b6076f32fc188d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/820d8ccef52b1d15878bd0770d5e8188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ff9cb2bbc57d1964cef065c0dd31ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f9fcab2886322d40bb5b52d997984fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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名校
解题方法
9 . 已知函数
的定义域是
,且
,当
时,
,
,则下列说法正确的是( )
![](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/25bea6d14c16f7c06e4e028f36131360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ae637ab2db7442c4fafb163c992e38.png)
A.![]() |
B.函数![]() ![]() |
C.![]() |
D.不等式![]() ![]() |
您最近一年使用:0次
2023-12-19更新
|
269次组卷
|
2卷引用:陕西省西安市西安高新第一中学2023-2024学年高一上学期期中数学试题
10 . 已知
在
上是增函数,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae49751a031c1fccc280c584d92a5e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次