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分式及分式方程计算题练习分式及分式方程计算题练习1.分式计算:3b2bc2a2a26a 93 aa2()(2)(1)16a2a2b(3)(x22x33x9 x2)(31 x)2(5)(7)12x1x yx y2x x y4b22b 3a 94)2x6x2 x44x x2(x3)63 xy 1y 2y 56)y24y 3y26y 9y 1(x yx2 y21(8)x 3yx2 6xy 9y2(9)a22a1a1(a2).(11)(xy x2)x yxy(13)(10)xx2xx24x2 x12)(x+y)14)(15)(16)(17)(18)(19)(20)(21)(22)(23)3b216abc2a2(2ab)(25)x2x2x36x9x24(27)x2x1x1(24)a26a 94b23 aa22b3a 93426)x2y y 2 xxz xyz(28)a23a21a1a11(2b216(29)ab(30)ab(31)(1 11 13 3xx 1 1 1 1 x2 2)x 1 1(33)x(1 1x)x21x 1(35)23.3 xx 2x 2 5x 2a39a2(32)(3xxxx 2x 2)x2 434)(1+1+1xx 1)x21(36)(11)xyx yx yx2 y2(x x 11(37)3a33y x2)(x2 y2)()(37)(x2 xx2 2x 1x(39)12x1x y(x y2x x y).2.解方程35x 2xx yy x(40)x24x4x24x22xx21x1xx 5x 2x 62-x1113-2x-33-x(5)11x7x11x61x2(7)1xx 2 3 1x 2 (8)2x422 xx 4x 8x 7x 5x 5x 9x 8x 62x 32x 4x 112x 3 (6)(9)23(10)+=1xx3(11)x 3x 2132 x (12)(13)2x 31x (14)(15)12x2=x23x1x1(16)(17)=0(18)(19)(21)x 1x 14x211(23)34x 2x 4 (24)(20)=1(22)mxnx1 0(m n,mn 0)1xx2x(25)2x 4x 265 4x(26)21 4x 3x 1x 2x 2x(27)xx(29)13x3x13x13x 11219x2(31)(30).11x2 x-x21=0(28)(32)1x 11x 21x 31x 4(33)35x1x3(35)124x1x1x21(37)1x2x12 x 3(34)2x52x55x2=17x x462x2 xx21x52x5152x(36)(38)(39)x 13x 216x 221 (40)2x 1x1x 2x 4x 23已知x y 4,xy 12,求4求y 1x 1的值。x 1y 11111.的值,并求当x=1 时,该代数式x(x 1)(x 1)(x 2)(x 2)(x 3)(x 1998)(x 1999)的值。x2x5.已知2=5,求4的值。x x21x x16.已知x 4x1 0,求x 7.已知241的值。4x4xab与的和等于2,求 a 和 b 的值。x 2x 2x 48.:解方程:2=1;利用的结果,先化简代数式(1+),再求值。a 1a2 41229.已知a a 0,求的值。a 2a 2a 1a 1210.已知11.若 0 x1,且x 112a 3ab 2b的值。3,求aba 2ab b11 6,求x 的值。xx12.已知162x1 32x2,求代数式4的值。13.先化简,再求值:(a2b),其中 a、b 满足。),其中 x=3xx2911(其中x)2x3x3x 3x3。1x+1(x),其中x=2+1。xxx 22x 21,其中x 2 1。x21x2 2x 1x 11a2 4a 4)(1,其中a 1。2a 1a ax2 y2x y 2x 2y,其中x 3,y 13.。18x 4(x2 41124x1)(2x),其中x 11a2(1a1)2a1a其中a 2 1.,计算(2 2)20122012(2+2+)201320132 2()0 0
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