求解第20题!!!
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(1)
M
=(a^2-4a+4)/(a^2-4) - a/(a+2)
=[(a^2-4a+4)-a(a-2)]/(a^2-4)
=(-2a+4)/(a^2-4)
=-2(a-2)/(a^2-4)
=-2/(a+2)
(2)
a+2≥0
a≥-2 (1)
a-1<0
a<1 (2)
(1) and (2)
-2≤a<1
a为整数
a=-2 or -1 or 0
a=-2 : M=-2/(a+2) = -2/(-2+2) =∞
a=-1 : M=-2/(a+2) = -2/(-1+2) =-2
a=0 : M=-2/(a+2) = -2/(0+4) =-1
M
=(a^2-4a+4)/(a^2-4) - a/(a+2)
=[(a^2-4a+4)-a(a-2)]/(a^2-4)
=(-2a+4)/(a^2-4)
=-2(a-2)/(a^2-4)
=-2/(a+2)
(2)
a+2≥0
a≥-2 (1)
a-1<0
a<1 (2)
(1) and (2)
-2≤a<1
a为整数
a=-2 or -1 or 0
a=-2 : M=-2/(a+2) = -2/(-2+2) =∞
a=-1 : M=-2/(a+2) = -2/(-1+2) =-2
a=0 : M=-2/(a+2) = -2/(0+4) =-1
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