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電子課本網(wǎng) 第63頁

第63頁

信息發(fā)布者:
$?? -a^2b-a b^2??$
C
$解:原式??=\frac {x-1}x÷\frac {x-1}x??$
$?? =1??$
$解:原式??=xy^2 ·\frac {(x+1)(x-1)}{x+1} ·\frac {xy^2}{x-1}??$
$?? =x^2y^4??$
解:原式??$=\frac {3-m}{2(m-2)}÷\frac {\ \mathrm {m^2}-4-5}{m-2}$??
??$ =\frac {3-m}{2(m-2)} ·\frac {m-2}{(m+3)(m-3)}$??
??$ = -\frac 1{2(m+3)}$??
$解:原式??=1-\frac {a-b}{a+2b} ·\frac {(a+2b)^2}{(a+b)(a-b)}??$
$?? =1-\frac {a+2b}{a+b}??$
$?? =-\frac b{a+b}??$
$解:原式??=a+\frac 1{2a-1}-\frac {2a+1}{2a}÷\frac {2a-1}a ??$
$?? =a+\frac 1{2a-1}-\frac {2a+1}{2(2a-1)}??$
$?? =\frac {4a^2-2a+2-2a-1}{2(2a-1)}??$
$?? =\frac {2a-1}2??$
$?? =a-\frac 12??$
$當??a=\frac 58??時,原式??=\frac 58-\frac 12=\frac 18??$
$解:??x^2+1=5x??$
$兩邊同時除??x,??得??x+\frac 1x=5??$
$ 則有??x^2+\frac 1{x^2}=(x+\frac 1x)^2-2=5^2-2=23??$
$ ∴??(x-\frac 1x)^2=x^2+\frac 1{x^2}-2=23-2=21??$
$ ∴??x-\frac 1x=±\sqrt {21}??$
解:原式??$=\frac ab+\frac ac+\frac bc+\frac ba+\frac ca+\frac cb$??
??$ =\frac {a+c}b+\frac {a+b}c+\frac {b+c}a$??
∵??$a+b+c=0$??
∴??$a+c=-b,$????$a+b=-c,$????$b+c=-a$??
∴原式??$=-1-1-1=-3$??