名校
1 . 已知
关于
对称.
(1)计算
和
的值;
(2)设
,若对任意
,存在
使得
.求k的值.
参考结论:函数
关于点
中心对称的充要条件是
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd24a95befb7de5fd62225d3f4ecf5d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b351499acbb760f49872861e94363c0b.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c3a1c24d71fb8a565f122958be683e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88afe5c5be8dc12217ccbef588cc61c.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d246c4d9c727afda2e4e6e179797a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a310d1e35ef9f6a74508d1804a944cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0f9a88cc3f5424bece97632e1cea1ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ccb5091b52bdf55abae6e0835d5cd67.png)
参考结论:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e915b67f8f747698b8b46d37bc453667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827539d066d1b78e7ef8bc1569864971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45519cf284f949c62be15d388cd11b91.png)
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解题方法
2 . 已知
是幂函数,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/538f1e3469ed5c00b588cf3e33bb6804.png)
A.![]() | B.![]() |
C.![]() ![]() | D.当![]() ![]() |
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名校
解题方法
3 . 对于函数
,
,如果a,b,c是任意的非负实数,都有
,
,
是一个三角形的三边长,则称函数
为
上的“恒三角形函数”.
(1)设
,
,若函数
是
上的“恒三角形函数”,试求实数
的取值范围;
(2)在(1)的条件下,令函数
,若对任意的
,总存在
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f484115a9df1b6060d6b14df85c6f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35770a47ffcba6bf1d94eceabb416d96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee0882f5f575d9e0ae7677efbd41b38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b891d1a2a11ea71b6186558ce9f9f7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/958ec111c14ee3790b03be9707d68eb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ac5a318040b6efc64e914e27a3ea12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce485410257c9c1fae9d87ce3e44cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)在(1)的条件下,令函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec5e16dafcaed66dc6ea9994c2571d48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8faa3c9cac663cb8c715f1f0a35163a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f1a33c57ba12929592f747ccf5244d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06414472fa659052f0aa473daa0a758b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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4 . 下图是高台跳水运动中运动员的重心相对于水面的高度
随时间
变化的函数
的图像,
为
的导函数,对于任意的
,则下列选项正确的有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/7/395e7101-5441-43c7-8025-3c287a04be70.png?resizew=155)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0225bca34eaf19544939b29153aac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/862d89ab42e9c07bdf80fbac1519e7cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0225bca34eaf19544939b29153aac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f433d6df50cbbaed8df946e1e33343.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/7/395e7101-5441-43c7-8025-3c287a04be70.png?resizew=155)
A.![]() |
B.![]() |
C.![]() |
D.存在![]() ![]() |
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5 . 已知
在
上函数值随着x的增大而增大,用符号语言可表示为:_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a19bbab2270fc8e694527e801556cf.png)
您最近一年使用:0次
名校
6 . 下列结论正确的是( )
A.若![]() ![]() |
B.已知M是一个区间,存在![]() ![]() ![]() ![]() |
C.已知函数![]() ![]() ![]() ![]() |
D.若函数![]() ![]() ![]() ![]() |
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名校
7 . 已知函数
,
下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fa0b4ccc2f727ce19611387c28710db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a119b058508e7d4618a0a0e399b460.png)
A.当![]() ![]() ![]() |
B.当![]() ![]() ![]() ![]() ![]() |
C.当![]() ![]() ![]() ![]() |
D.当![]() ![]() ![]() |
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2021-12-25更新
|
210次组卷
|
2卷引用:广东省清远市四校联盟2022-2023学年高一上学期期中数学试题