名校
解题方法
1 . 已知函数
,
.
(1)证明函数
在
上单调递减;
(2)若
,
,使得
,求实数a的取值范围;
(3)若关于x的不等式:
在
上有解,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe5effb3053cf609f59178641cd48167.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdffac17d32ecb007f0e3621d7131296.png)
(1)证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe5effb3053cf609f59178641cd48167.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589ed49839c4dc0b033431d88a4c1f94.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ae1876388b119abfc34e71625d072e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e73cb4bb8f79345724065792a1c8f3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6154e00013d9dee84c0e941f676ea9.png)
(3)若关于x的不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa18838a13fda4e45612c32cdf98b71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589ed49839c4dc0b033431d88a4c1f94.png)
您最近一年使用:0次
名校
2 . 已知函数
,
,其中
且
.
(1)若
,
(i)求函数
的定义域;
(ii)
时,求函数
的最小值
;
(2)若当
时,恒有
,试确定
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac01e92c58dae09cd9eb13709e64a330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47202da423151147a52b046f9623a9b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64666924d5d2b1622d891c6a8c318404.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c0fef96f30a0604adb01c856ad4cff.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dcc5db3bf784d244d900b184c500122.png)
(i)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47202da423151147a52b046f9623a9b2.png)
(ii)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77538bd3aba1864f5eac30dae75b36d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7385c691b378d4c7f5adab4de59a68cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8413e920cf1bfa9d49cb1115255f2e4.png)
(2)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f91677b23015a1bd7ea515397f8c27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f3df6451407ddc5e707dc2761a3d373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2021-01-21更新
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1073次组卷
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3卷引用:天津市滨海新区2020-2021学年高一上学期期末数学试题
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