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1 . 已知函数f(x)=lg
,
(1)求f(x)的定义域并判断它的奇偶性.
(2)判断f(x)的单调性并用定义证明.
(3)解关于x的不等式f(x)+f(2x2﹣1)<0.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eba6d2da00c821df38db8024d3638dc.png)
(1)求f(x)的定义域并判断它的奇偶性.
(2)判断f(x)的单调性并用定义证明.
(3)解关于x的不等式f(x)+f(2x2﹣1)<0.
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2018-12-03更新
|
493次组卷
|
3卷引用:【校级联考】湖北省孝感一中、应城一中等重点高中协作体2018-2019学年高一上学期期中联考数学试题
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2 . 有些银行存款按照复利的方式计算利息,即把前一期的利息与本金加在一起作为本金,再计算下一期利息.假设最开始本金为
元.每期利率为
时,在
期后本息和为
.若
,则
.解得
.银行业中经常使用的“70”原则:因为
,而且当
比较小时,
,所以
.若
,
.则
的最小整数值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48263f24da5420576e76038d19c13026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195826ed8beda191693a975a15c0390f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151daaebac55f3ba41d51128152778a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/078a6028b63c247fd88fb5c67a648093.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2c1c43cf0ccab84a155bfb1fd09826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28e13df650ac1ff76f302003dfd5bdc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697aa48306bbfd690edfd2d6adf7f453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48263f24da5420576e76038d19c13026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.22 | B.25 | C.23 | D.24 |
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2020-11-04更新
|
347次组卷
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4卷引用:湖北省黄冈市麻城一中2019-2020学年高三上学期期末数学(理)试题
3 . 已知方程
的两个根为
,
.
(1)求
的值;
(2)若函数
在
上单调递减,解关于
的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d436744147a2f3454b111c3b4951a74b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a60302649eb940748da818199e55da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b21b78d4ce2b476afd4f1957cf656d2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e970eee71b5ba7ca8f8b11de66be98f4.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4fabeb5de96ba033fae5a991d07d8f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61575f7c00f25b56c98ca07f5d1eeb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41b60a4391d6147d32ebb877b65192f.png)
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解题方法
4 . 已知函数
,其中
.
(1)当
时,求方程
的解;
(2)当
时,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681dbf0e58300a07e4362c1e0e540cbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d670dcd0ce51abe372bc51a88ba1a7.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1553006815bd3d2ff0509a60f8e1f11f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec012ac3654138a24ade8a0ea91f9919.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4fefb5c6a3edd52ca06b81072c8c340.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
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