定义一种运算:
,将函数
的图象向左平移
(
)个单位长度,所得图象对应的函数图象关于
轴对称,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a233cfe0574065115633ade00eddbb38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c96755c00be8b219cf2b28fc66f401a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
更新时间:2021-04-01 22:09:30
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适中
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【推荐1】已知函数
为奇函数,则下述四个结论:①
;②若
在
上存在零点,则a的最小值为
;③
在
上单调递增;④
在
内有且仅有一个极大值点.其中正确的是___________ .
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名校
【推荐2】若将函数
(
)的图像向左平移
个单位后,所得图像对应的函数为偶函数,则
的最小值是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02cc97eabe93f82ff061f5ce16016c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdaf49f9611922348aa2784465da614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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【推荐1】把曲线
:
向右平移
个单位后得到曲线
,若曲线
的所有对称中心与曲线
的所有对称中心重合,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dfeda096eeb43d972a7b27e3484b281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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解题方法
【推荐2】已知
,将
图象向左平移
个单位后得到
的图象,若
与
的图象关于
轴对称,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3323ce40259dfa0235be55db4d3a5448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
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【推荐3】函数
向左或向右平移
个单位后,所得图像关于
轴对称,则
的最小值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7671db4c71ad4465e673ce9af5a0b81a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f07948e9258b482a2164ac871f90f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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