已知函数
,求
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732b9ade90c568243ec13da04eca0229.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
2024高三·全国·专题练习 查看更多[1]
(已下线)专题01 利用导数求解函数单调性问题(三大类型)
更新时间:2024-05-23 08:48:50
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【知识点】 利用导数求函数的单调区间(不含参)
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解答题-问答题
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【推荐1】已知函数f(x)=
,其中a>0.
(1)当a=1时,求f(x)的单调增区间;
(2)若曲线y=f(x)在点
处的切线与y轴的交点为(0,b),求b+
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a3549ea047a41b8d8220bdee0d8e7ca.png)
(1)当a=1时,求f(x)的单调增区间;
(2)若曲线y=f(x)在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ead6dfd571b4aa38eb9b8b452f6fb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2c70fcaa661df4fbcad820b439accda.png)
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适中
(0.65)
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【推荐2】已知函数
,其中
.
若
是函数
的极值点,求实数a的值;
若对任意的
为自然对数的底数
,都有
成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f16a7a88c31217873d12f07a5d5f430.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae018fde08edf0539089f98c17e11ff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679353e656a54993c041ebd39ec7b31b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a08c27439f933b816ca1b525c20c564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a51b55d2d944413bb1e9b15d347025e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c3a7375320f2036b1d329fcf5af1de0.png)
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适中
(0.65)
【推荐3】![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84def7de96ffbf518ff51da4426c50ec.png)
(1)当
时,求
的单调区间;
(2)若
时,
恒成立,求整数
的最小值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84def7de96ffbf518ff51da4426c50ec.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2396f9dba7b385b969c62ec3901b7178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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