定义运算a*b=a(1-b),下面给出了几个结论:1.a*b=b*a 2.若a+b=0,则(a*a)+(b*b)=2ab 3.若a*b=0,则a=0... 定义运算a*b=a(1-b)。下面结论正确的是? 1:若a+...

\u5b9a\u4e49\u8fd0\u7b97a?b=a\uff081-b\uff09\uff0c\u4e0b\u9762\u7ed9\u51fa\u4e86\u5173\u4e8e\u8fd9\u79cd\u8fd0\u7b97\u7684\u51e0\u4e2a\u7ed3\u8bba\uff1a\u24602?\uff08-2\uff09=6\uff1b\u2461a?b=b?a\uff1b\u2462\u82e5a+b=0\uff0c\u5219\uff08a?

\u22352?\uff08-2\uff09=2\u00d7[1-\uff08-2\uff09]=6\uff0c\u2234\u2460\u6b63\u786e\uff1b\u2235a?b=a\uff081-b\uff09=a-ab\uff0cb?a=b\uff081-a\uff09=b-ab\uff0c\u2234\u2461\u9519\u8bef\uff1b\u2235a+b=0\uff0c\u2234b=-a\uff0c\u2234\uff08a?a\uff09+\uff08b?b\uff09=a\uff081-a\uff09+b\uff081-b\uff09=a-a2+b-b2=0-a2-a2=-2a2\uff0c2ab=2a\uff08-a\uff09=-2a2\uff0c\u2234\u2462\u5728\u6b63\u786e\uff1b\u2235a?b=0\uff0c\u2234a\uff081-b\uff09=0\uff0ca=0\u62161-b=0\uff0c\u2234\u2463\u9519\u8bef\uff1b\u5373\u6b63\u786e\u7684\u67092\u4e2a\uff0c\u6545\u9009B\uff0e

1\uff1a\u82e5a+b=0\uff0c\u5219\uff08a*a\uff09+\uff08b*b\uff09=2ab\u662f\u6b63\u786e\u7684\u3002

\u56e0\u4e3aa*b=a(1-b)\uff0ca+b=0
\u6240\u4ee5\uff08a*a\uff09+\uff08b*b\uff09=a(1-a) + b(1-b) =a -a2 +b- b2= -a2 - b2= -\uff08a+b\uff092+2ab=2ab
\u5176\u4e2da2\u8868\u793aa\u7684\u5e73\u65b9\uff0c b2\u8868\u793a b\u7684\u5e73\u65b9 \uff0c\uff08a+b\uff092\u8868\u793a\uff08a+b\uff09\u7684\u5e73\u65b9
2\uff1a\u82e5a*b=0\uff0c\u5219a=0\u4e5f\u662f\u5bf9\u7684\u3002

a*b=a(1-b)=0 \u6240\u4ee5a=0\u6216\u8005b=1

2 是对的 (a*a)+(b*b)=a(1+b)+b(1+a)=a+b+2ab因为a+b=0,所以=2ab
其他的不一定1的话a(1-b)不等于b(1-a)3的话a(1-b)=0,那么a=0或者b=1,不一定是a=0

a*b=a(1-b),b*a=b(1-a) 1错
a*a=a(1-a),b*b=b(1-b),(a*a)+(b*b)=a-a²+b-b²=-a²-b²
(a+b)²=0=a²+b²+2ab,所以(a*a)+(b*b)=-a²-b²=2ab……2对
a*b=a(1-b)=0 还有可能是b=1……3错

1.a*b=a-ab不等于b-ab=b*a
2.a*a+b*b=a-a^2+b-b^2=-(a^2+b^2)=-(a+b)^2+2ab=2ab
3.a(1-b)=0所以a=0或b=1

3对

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