名校
解题方法
1 . 已知函数
,
,过原点的直线与曲线
相切,也与曲线
相切.
(1)求a;
(2)设
有两个极值点
,
.
(ⅰ)求实数m的取值范围;
(ⅱ)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc873fc03e6e4d3c4ba02f8b1147b20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e39792bb26dfff1cf8648901a4be3fc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
(1)求a;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c81890a45292e740dfcf0157e489faa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
(ⅰ)求实数m的取值范围;
(ⅱ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a53af87c220168a6636c8029e0d9ed5.png)
您最近一年使用:0次
2022-08-22更新
|
579次组卷
|
2卷引用:云南省昆明市五华区2023届高三上学期8月教学质量摸底检测数学试题
名校
解题方法
2 . 已知函数
且
恒成立.
(1)求实数
;
(2)若函数
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d67d1cdfe4d8b0082f6bd67916c58b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb23272635181bb51db5a6a1917d73aa.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86135bd40536042536c1c7bed21d0171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b26b37be39ffe6610267d7f7c74e214.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b60dafffd2ae49f19fc51dcda361303d.png)
您最近一年使用:0次