名校
1 . (1)求函数
所有零点之和.
(2)若函数
在区间
内有零点,求实数
的取值范围.
(3)若关于x的方程
(
且
)恰有两个解,求k的取值范围.
(4)若函数
在区间
内恰有一个零点,求实数
的取值范围.
(5)你认为解决零点个数问题的常用方法有哪些?(至少写出2个)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deaab532cd1d38eb5bb8a245bd4412bb.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f558cf53203269a9543ceb090121e55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62601da6afcaf350ceeda7b178f5ace5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(4)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc02a95f825435c2503bf44e4cd9cdb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(5)你认为解决零点个数问题的常用方法有哪些?(至少写出2个)
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名校
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30a7705ca7bb870a1495cd1ec19e6b70.png)
且
在
上单调递减,且关于x的方程
恰好有两个不相等的实数解,则
的取值范围是_____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30a7705ca7bb870a1495cd1ec19e6b70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d74d706d2e4392e25016e9101d07ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d0b082837bee50f5cd0bf6aabfb92f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
3 . 已知命题
:函数
有且只有一个零点;命题
函数
的值域为R,若
为真命题,
为假命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/546ef647dde01614c06a23c51657a8e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abdd83b2bc54a85ed340f44a0f222f40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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