1.求 (x^2+4x)/(x^2-2x+1+4x)的最大值2.已知集合A={z| |z-2|≤2,z∈C},集合B={w|w=(1/2)zi+b,b∈R}当A∩B=B时,b的值是____.= =
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1.求 (x^2+4x)/(x^2-2x+1+4x)的最大值2.已知集合A={z| |z-2|≤2,z∈C},集合B={w|w=(1/2)zi+b,b∈R}当A∩B=B时,b的值是____.= =
1.求 (x^2+4x)/(x^2-2x+1+4x)的最大值
2.已知集合A={z| |z-2|≤2,z∈C},集合B={w|w=(1/2)zi+b,b∈R}当A∩B=B时,b的值是____.
= =
1.求 (x^2+4x)/(x^2-2x+1+4x)的最大值2.已知集合A={z| |z-2|≤2,z∈C},集合B={w|w=(1/2)zi+b,b∈R}当A∩B=B时,b的值是____.= =
因为上式化解得,(X^2+4X)/(X+1)^2,那么X^2+4X=(X+1)^2+2X,同时设x+1=t.所以上式得,y=-3/t^2+2/t+1(X不等于-1),y(max)=4/3
因为由集合A得0≤z≤4,又因为A∩B=B,所以0≤(1/2)zi+b≤4
则0-(1/2)zi≤b≤4-(1/2)zi,.所以,-2≤b≤4
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