名校
1 . 已知函数
,
,其中
为自然对数的底数.
(Ⅰ)若曲线
在点
处的切线与直线
垂直,求实数
的值;
(Ⅱ)求函数
的单调区间;
(Ⅲ)用
表示
,
中的较大者,记函数
.若函数
在
内恰有2个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7197fbe49b9795c4011debe836d9639.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea43e29e3b1681ef52d26660fe6efcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
(Ⅰ)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db40d5295942e85ec07a3728c7ad308d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac6f7dfd20cc497db4cdfb8b37b90171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40291dacf051dbe79de9d4d535dc290b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅱ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
(Ⅲ)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ac68482ffb69f09e33a5b641565801.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/e8e3196f889d808e6550be6044eb14d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eade20fc55d78aba17d91cddf4cf3c1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc03f89640a187a000a2378e3a3fea22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2019-05-09更新
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473次组卷
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3卷引用:【区级联考】天津市河北区2019届高三二模数学(理)试题