> 数学 >
已知:X,Y属于R ,满足(X平方+Y平方+2)(X平方+Y平方-1)-18
人气:168 ℃ 时间:2020-09-26 05:15:49
解答
令a=x^2+y^2
所以a>=0
(a+2)(a-1)-18<=0
a^2+a-20<=0
(a+5)(a-4)<=0
-5<=a<=4
a>=0
0<=a<=4
x^2-2xy+y^2=(x-y)^2>=0
2xy<=x^2+y^2<=4
所以xy<=2
推荐
猜你喜欢
© 2026 79432.Com All Rights Reserved.
电脑版|手机版