解题方法
1 . 给定集合
,
为定义在D上的函数,当
时,
,且对任意
,都有___________ .
从条件①、条件②、条件③这三个条件中选择一个作为已知,补充在横线处,使
存在且唯一确定.
条件①:
;
条件②:
;
条件③:
.
解答下列问题:
(1)写出
和
的值;
(2)写出
在
上的单调区间;
(3)设
,写出
的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb878f1866c06162fab3dae6aa76d32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3854657132149e031bf23eed96479cbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
从条件①、条件②、条件③这三个条件中选择一个作为已知,补充在横线处,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fa1cb589c89ba5d858717ab749d0ed.png)
条件②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be2cdbc2173fc2efcec1085e6ef9ace.png)
条件③:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352dff123dd14331a3d6c74514c290a.png)
解答下列问题:
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b530377e3fe56b7988935dd73d9dccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74156327e5659301f391814605688899.png)
(2)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e84fd2b0f03af2e72c838484e69e06e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
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2022-03-11更新
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4卷引用:北京市第一次普通高中2022届高三学业水平合格性考试数学试题