9-10高三·江西南昌·阶段练习
名校
1 . 已知函数
是定义在
上的奇函数,当
时,
(其中e是自然界对数的底,
)
(1)设
,求证:当
时,
;
(2)是否存在实数a,使得当
时,
的最小值是3?如果存在,求出实数a的值;如果不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c91ca49d8f292f2e57742d740c1d8d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd514ce1a12184a1c501fef23cc5f374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0473ffcca997f603b285fffbbfdfe39d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18d8bb5b69b18ad2a172c3407550dcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a0ca79250d59ffef4732f8391dc3ea.png)
(2)是否存在实数a,使得当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/845bcaef8f725643bdd868e4aef5ba64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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12-13高三·宁夏银川·阶段练习
解题方法
2 . 已知函数
定义在R上的奇函数,当
时,
,给出下列命题
①当
时,
②函数
有2个零点
③
的解集为
④
,都有
其中正确命题个数是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6860fef1c0974c0c15a3ed2e43de8da4.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91df098d2267c8872c00d115ff0d8187.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b356efeef4e9341ef3627407d580539f.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae2c13ad91dae29cf4d9f794a8808dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01b783b94032c6075b6216f4b004422.png)
其中正确命题个数是
A.1 | B.2 | C.3 | D.4 |
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