名校
解题方法
1 . 已知函数
,
,
.若曲线
与
恰有一个交点且交点横坐标为1.
(1)求
的值及
;
(2)判断函数
在区间
上的单调性,并利用定义证明你的结论;
(3)已知
,且
,若
,试证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e228067dbbd535c24d7555d0bbfa19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17deb91ca85e675b36c713f11a490cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea45ed0bedec68339ee809dd58b3d88b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d30159b1a7628566c70ba1f5e3daef1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7961cbe98aac6a5fdee94582c341b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a9ba50ede8ef97b843accf839fef5c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9947fdb8b6b390de995711ef15d82e70.png)
您最近一年使用:0次
2023-01-13更新
|
883次组卷
|
2卷引用:重庆市第八中学校2022-2023学年高一上学期期末数学试题
2 . 已知定义域为
的函数
满足
.
(1)若
,求
;又若
,求
.
(2)设有且仅有一个实数
,使得
,求函数
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ef64427f154e3fa27bf9a35c60231b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e7b359eb7cd04493fc030a87eccbf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74156327e5659301f391814605688899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5602fee37c5fb9d0424871379ccc269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff3bf2007903adc64d089a054c2284a7.png)
(2)设有且仅有一个实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73bc955d158efde0bdd62d14a60a65e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2020-10-01更新
|
854次组卷
|
5卷引用:2006年普通高等学校招生考试数学(理)试题(重庆卷)