规定关于任意正整数m,n的新运算:
,如:若
,则
.若
,则
的结果是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02c611a5862a63f3afa60b23799adf8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87be090ba8340348b4894c0ad1ce3662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c5dcfe318d66e85fd81a7d5ed14c73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ee2d0348c80730aa69f3d35fb3b2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae633ab0f3d30b479df5783fbb8b4dd.png)
更新时间:2024-05-16 15:10:50
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【推荐1】定义新运算:对于两个不相等的实数a,b,我们规定符号max{a,b}表示a,b中的较大值,如:max{﹣2,﹣4}=﹣2.
(1)max{2
,5}=_____ ;
(2)若max{﹣12,(一1)2}=
,则x=_____ .
(1)max{2
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
(2)若max{﹣12,(一1)2}=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e341f436ede3fe0a28ef1f3a6c3e382e.png)
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【推荐2】规定:若
,那么
.如:
,则
.
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c43c5403d59986d1c8fb4bf68b8c1b1c.png)
__________ ;
(2)若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9b27b45d8b2dd74d6b7bcbedc87d27.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce1edece9463e1958e5e3fed42948a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a864c0f12e92d57f163b5dc284e7e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a52685b77856d28af3beed027d725506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/692db2c1b6eddcb1087f89a566723f31.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c43c5403d59986d1c8fb4bf68b8c1b1c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcfb149789315d6b50dffc09a90132c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9b27b45d8b2dd74d6b7bcbedc87d27.png)
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【推荐2】学习了乘方后,我们知道:
,
,
.
(1)用相同方法计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d0a2b4fa19758dd167d029c014a3ec4.png)
___________ ;
(2)猜想:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa50d15533f9e7d5f9cd43b8cf19cd6c.png)
___________ ;
(3)利用上述结论,计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b982faf28761ec1ffedaa2cce6da98ba.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a08b26de20ae14cf26a01b503b7af30c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a9bd17ee8a792a05284b6230953fe4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b503917e7a873b7bbbfacd1681cfe25d.png)
(1)用相同方法计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d0a2b4fa19758dd167d029c014a3ec4.png)
(2)猜想:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa50d15533f9e7d5f9cd43b8cf19cd6c.png)
(3)利用上述结论,计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b982faf28761ec1ffedaa2cce6da98ba.png)
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