若曲线

上点

处的切线平行于直线

,则点

的坐标是________.
练习册系列答案
相关习题
科目:高中数学
来源:不详
题型:解答题
设函数

有两个极值点

,且

.
(1)求

的取值范围,并讨论

的单调性;
(2)证明:

.
查看答案和解析>>
科目:高中数学
来源:不详
题型:解答题
已知

为常数,且

,函数

,
(

是自然对数的底数).
(1)求实数

的值;
(2)求函数

的单调区间;
(3)当

时,是否同时存在实数

和

(

),使得对每一个

,直线

与曲线


都有公共点?若存在,求出最小的实数

和最大的实数

;若不存在,说明理由.
查看答案和解析>>
科目:高中数学
来源:不详
题型:填空题
曲线

在点

处的切线方程为________.
查看答案和解析>>
科目:高中数学
来源:不详
题型:解答题
已知函数

.已知函数

有两个零点

,且

.
(1)求

的取值范围;
(2)证明

随着

的减小而增大;
(3)证明

随着

的减小而增大.
查看答案和解析>>
科目:高中数学
来源:不详
题型:解答题
设函数

,其中

.
(1)讨论

在其定义域上的单调性;
(2)当

时,求

取得最大值和最小值时的

的值.
查看答案和解析>>
科目:高中数学
来源:不详
题型:解答题
已知函数

(

为小于

的常数).
(1)当

时,求函数

的单调区间;
(2)存在

使不等式

成立,求实数

的取值范围.
查看答案和解析>>