已知实数x,y满足x²+y²-6x-4y+12=0 求x-y的最大值与最小值.

学习时间:2026-04-06 23:44:54 阅读：2102

已知实数x,y满足x²+y²-6x-4y+12=0 求x-y的最大值与最小值.已知实数x,y满足x²+y²-6x-4y+12=0求x-y的最大值与最小值.最好有图,

冷傲的板栗

2026-04-06 23:44:54

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x²+y²-6x-4y+12=0(x-3)²+(y-2)²=1x=3+costy=2+sintx-y=3+cost-2-sint=cost-sint+1=√2sin(pai/4-t)+1最大值√2+1最小值-√2+1