解题方法
1 . 用二分法求图象是连续不断的函数
在
内零点近似值的过程中得到
,
,
,则函数的零点落在区间_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a369f9056771d0a4c15deadba836a09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3d8cab1d285253a2239aaed71d8b5d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ef71e1a7496d5ad152ef5041805a79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcde7473b241d300c1b7477e4991fd7.png)
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2 . 化简求值.
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37628a47f722a4bc2a991e76b4723dbc.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b77639f1cb8ed164f294820f0bef8a7.png)
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解题方法
3 . 函数
(
为自然对数的底数).
(1)若
,求
;
(2)若关于
的方程
有三个不相等的实数解
.求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ceff26a3c71729b5da2edffbd3a8767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b4bf4b8f5797abd8e8a0950ec647604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6af5c76ec9d1f28ff48b91adfa279f9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894e50c6e3243ed66ab2d08f3b20ba92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8893a79d3bcd230b7f7eb02a6e0664dc.png)
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解题方法
4 . 某学校在校园美化、改造活动中需要在半径为50m,圆心角为
的扇形空地
的内部修建一个矩形观赛场地
.如图所示,M为弧
的中点,
与
和
分别交于点E、F,记
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/3311fba1-9093-4671-ba6d-004babcd5c42.png?resizew=119)
(1)求矩形
面积S与
之间的函数关系
;
(2)当
取何值时,矩形
的面积最大,并求出这个最大面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6c71a0da6a878a5b12bf8a8e784645.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65b99701da0b9602dca0d8bf78bf920a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/3311fba1-9093-4671-ba6d-004babcd5c42.png?resizew=119)
(1)求矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812ddf68e35feaa9236cfa79633f0113.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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解题方法
5 . 下列说法正确的是( )
A.函数![]() ![]() |
B.关于![]() ![]() ![]() ![]() |
C.若正实数a,b满足![]() ![]() ![]() |
D.若函数![]() ![]() ![]() ![]() |
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解题方法
6 . 函数
与
在同一直角坐标系中的图象不可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1af69fd5467dc8ab835535c592f7eb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dd0e1112ed6d843864b9bdd1503ffa2.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
7 . 已知函数
.
(1)判断
的奇偶性;
(2)用单调性定义证明
在
上单调递减;
(3)若
的定义域为
,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/906d639870b14cfa5795a7c568411873.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)用单调性定义证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dff8bbca9cb97694307a696874df6e2f.png)
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解题方法
8 . 已知角
的终边为射线
.
(1)求
,
,
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00dd24aa0bd4a38f7582588c63add57b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7980e96d332aa0b4ed25c2dbff79b366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45b8b77522dfc890b99f0a86a690de94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8964b57df174f9cf1b8b7a0bbb88e74.png)
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解题方法
9 . 设集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3532db392eef5ed560c44ef89f1c42b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5401335155f7675960d665c8cb746e19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
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解题方法
10 . 下列说法正确的是( )
A.集合![]() ![]() |
B.函数![]() |
C.![]() ![]() |
D.锐角是第一象限角,第一象限的角也都是锐角 |
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