20-21高一·江苏·课后作业
1 . 已知定义在
上的函数
的图象是一条不间断的曲线,
,其中
,设
,求证:函数
在区间
上有零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6472d8dd6c3c65f095a42494ce277f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/410febbca86bf5c14f8a1bfa3a8df187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
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2019高一上·全国·专题练习
名校
2 . 已知函数
.
(1)试作出
的图象,并根据图象写出
的单调区间;
(2)若函数
有两个零点,求实数b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2801ba9bd20c3c6ad0acd98362a27052.png)
(1)试作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/477735c5c78c01b94f8c24f178614b63.png)
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20-21高一·江苏·课后作业
解题方法
3 . 证明:函数
没有零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9071def6f2009c9cf10a52f1638d4b45.png)
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19-20高一·全国·课后作业
4 . (1)方程
有一个正根和一个负根,求实数
的取值范围;
(2)方程
有一个根大于1,一个根小于1,求实数
的取值范围;
(3)
取何实数值时,关于
的方程
的两个不相等的实根都大于2?
(4)若关于
的方程
有两实根
,且
,
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c6e6e814bc68fd81eec75244751549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6907ccfe5f93af948ded73bcd8553900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e05b3515387b6c50359ab456a0ba7712.png)
(4)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef08efba1c3e55f58572d1bf1e24eab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4d5b159da139b50cde0d087f462aa4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b96e97805f0853d6f994f0fad3b5aa05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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名校
5 . 已知函数
(
,
为常数).
(1)若
且
,求
、
的值;当
时,判断并证明函数
的单调性;
(2)若
,讨论方程
解的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91df566facfb315a5ce9a0126a5af66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed670b1f668778c6243f3f7470ee7d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc38756cc1783da1370c90beac9ff1cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97148e04ca6a9f9dca0aba91ce4e1d84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821fa0301d20076ad2e541f8c4a86231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb101c5df08aa35ae24a6416840b199b.png)
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11-12高一上·河南商丘·阶段练习
6 . (1)画出函数
的图象;
(2)利用图象回答:
取何值时
①只有唯一的
值与之对应?
②有两个
值与之对应?
③有三个
值与之对应?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c926bb7440609ee2e6de72b3bfab8490.png)
(2)利用图象回答:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
①只有唯一的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
②有两个
![](https://img.xkw.com/dksih/QBM/2011/12/27/1570635315838976/1570635320893440/STEM/69db77f5c9d84334be004d928ee3d6e7.png?resizew=13)
③有三个
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2011/12/27/1570635315838976/1570635320893440/STEM/db632db61e95434daa5a040da661255f.png?resizew=272)
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