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1 . 某家庭进行理财投资,根据长期收益率市场预测,投资债券等稳健型产品的年收益
与投资额
成正比,其关系如图1;投资股票等风险型产品的年收益
与投资额
的算术平方根成正比,其关系如图2.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/16/b3df6c32-f40d-42a8-b374-642dc3d6b93b.png?resizew=310)
(1)分别写出两种产品的年收益
和
的函数关系式;
(2)该家庭现有10万元资金,全部用于理财投资,问:怎么分配资金能使投资获得最大年收益,其最大年收益是多少万元?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/16/b3df6c32-f40d-42a8-b374-642dc3d6b93b.png?resizew=310)
(1)分别写出两种产品的年收益
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
(2)该家庭现有10万元资金,全部用于理财投资,问:怎么分配资金能使投资获得最大年收益,其最大年收益是多少万元?
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2 . 已知集合
,
,那么集合
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca717c6a55e786238e64f7ebd69b9b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e391689719c41c2118c3b1e1227a93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-06-16更新
|
302次组卷
|
2卷引用:云南省保山市第一中学2023-2024学年高一下学期期中教学质量监测数学试卷
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3 . 已知函数
,函数
有四个不同的零点
,
,
,
且
,
,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571240fc9ec9fda942480e60b0a04d46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f4d70a3e2c1335c178fee01917d14ff.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/36fa12840947e81b725d7d55df561cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6f82d05881ac8b3a18bba8665c4845.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 函数
与
的图象( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac335ef99c5163129452afd62e39a5be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cf7675fc49cbdf3611ac547d85c8f7.png)
A.关于![]() | B.关于![]() |
C.关于原点对称 | D.关于直线![]() |
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5 . 函数
的零点是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5501e078f146462d4a7d42f10a0e10c5.png)
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解题方法
6 . 已知
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f9eeef6fd7209130188dba2e572acde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ab7b2a2193a82b484182a14b926803.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97518ca6f45e95fd6ba2966bac24c240.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
7 . 设集合
,(
,
)且A中任意两数之和不能被5整除,则n的最大值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6bd3eec1b1e189c92c2db22ea773cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4613271f782a90ab580131d09d03d1.png)
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8 . 函数
.
(1)若
的定义域为
,求实数a的取值范围;
(2)当
时,
为定义域为
的奇函数,且
时,
,
①求
的解析式
②若关于x的方程
恒有两个不同的实数根,求t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a1bbd20e3530f75fc3c52a5648288f8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790b68061b533ed19f0c594314fc4dc8.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
②若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f432ff1145d529f680b88b8f767c5a.png)
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解题方法
9 . 设
,
,
,则
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb3e2274288267aa73ddb003b040962c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e08b5af66e6e93886a7472cf8b7a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9490c299f7753b55d7885ba9bcace0eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 下列等式正确的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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