1.已知x/y=1/2,求2x^2+3xy-2y^2/x^2+3xy+2y^2的值注意:过程
絕***
2007-12-11
y***
文***
德***
勤***
雪***
2007-04-14
1,(M^2-3M+2)/(M^2+2M-3) =(M-1)(M-2)/((M-1)(M+3)) =(M-2)/(M+3) 2,((M^2-M-6)/(M-3))/((M+3)/(M^2+M-6)) =((M+2)(M-3)/(M-3))/((M+3)/(M-2)(M+3)) =(M+2)/(1/(M-2)) =(M+2)*(M-2) =M^2-4 (M=1/M=>M^2=1) =1-4 =-3 3,(X-2Y)^2=0 =>X-2Y=0 =>X=2Y (X-Y)/(X+Y) =(2Y-Y)/(2Y+Y) =Y/3Y =1/3 4,X=√3-4 4-X ---------- ...全部
1,(M^2-3M+2)/(M^2+2M-3) =(M-1)(M-2)/((M-1)(M+3)) =(M-2)/(M+3) 2,((M^2-M-6)/(M-3))/((M+3)/(M^2+M-6)) =((M+2)(M-3)/(M-3))/((M+3)/(M-2)(M+3)) =(M+2)/(1/(M-2)) =(M+2)*(M-2) =M^2-4 (M=1/M=>M^2=1) =1-4 =-3 3,(X-2Y)^2=0 =>X-2Y=0 =>X=2Y (X-Y)/(X+Y) =(2Y-Y)/(2Y+Y) =Y/3Y =1/3 4,X=√3-4 4-X ---------- (分子分母同时乘以X-2) X-2 4-X 4-X 4-X --------------= -------------=----------=------- 12 X^2-4-12 X^2-16 X+2- ------ (X+2)(X-2)-12 X-2 4-X -1 -1 √3 =-----------=--------= --------= - ----- (X-4)(X+4) (X+4) √3-4+4 3。 收起
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