阅读思考:
(1)请你认真思考上述运算,归纳☆运算的法则:两数进行☆运算时,同号两数运算取 号,再把绝对值相加;异号两数运算取 号,再把绝对值相加.特别地,0和任何数进行☆运算,或任何数和0进行☆运算,等于这个数的 .
(2)计算:
,
;
(3)若
,求a的值.
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(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9add3875153fa9b96c7d59c3005b685e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01d0e6d3dc82c4ce83fd6960815d9bb.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4697f189bfd78ac33e3fab99e546521.png)
更新时间:2021-12-12 17:48:42
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解答题-问答题
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适中
(0.65)
【推荐2】对于有理数a,b,定义
的含义为:当a≥b时,
=a;当a<b时,
=b.例如:max{1,-2}=1,max{-3,-3}=-3,max{-1,0}=0.
(1)max{-6,6}= ;
(2)max{-x2+1,2}= ;
(3)已知max{-2k+5,-1}=-2k+5,求k的取值范围;
(4)已知max{2x-3,-2x-1}=9,求x的值;
(5)已知max{-20,m2+n2-8m+4n}=-20,直接写出m,n的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9d48e670be1ddbfee3738824a7eccf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9d48e670be1ddbfee3738824a7eccf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9d48e670be1ddbfee3738824a7eccf.png)
(1)max{-6,6}= ;
(2)max{-x2+1,2}= ;
(3)已知max{-2k+5,-1}=-2k+5,求k的取值范围;
(4)已知max{2x-3,-2x-1}=9,求x的值;
(5)已知max{-20,m2+n2-8m+4n}=-20,直接写出m,n的值.
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