分式混合運(yùn)算專項(xiàng)練習(xí)158題(有答案)26頁

1、學(xué)習(xí)資料收集于網(wǎng)絡(luò)，僅供學(xué)習(xí)和參考，如有侵權(quán)，請聯(lián)系網(wǎng)站刪除分式混合運(yùn)算專項(xiàng)練習(xí)158題（有答案）學(xué)習(xí)資料(2) _+ a- b a+b /-；(10)xx - 2x+22-4(15)2+x - 22/+9什9k 2 - 2工-xy+2y(11)a2a2-4a+4 a- 1-2a+l a2 - 4(12)(16)1宜+1x+2 x2 - 2x+lz'K - 1 K +4x+4(13)空?旦+工3y2 7K 21 J(17)(1 + &a+2(14)、."3)十jT+4x+4(18)xy- J)x2- 2xy+y22(19) 】工-三一1a a"+2a(20)

2、 2?®+_+ 至3y4x 2y* xya2 _ 1 a2 - a ”(21)a2+2a+l*1a+1(22) ：-：-2aa4a(23) ：一 一：s - 3 x - 3(24)76x2以3 _ 6 _ k+5(25)工 1'-2_ 2(26) -：''caba242(27) -=;- -。工+y -7 x£+y2(28) +>- 2a a/4總+4a/- 2a(29)a (1 + )aa? _ 2a+la- 1(30)2 工 x+y丁- Ly)zx(31)a°+2a+la2 - aa+1(32)上，二?(33)(34)(35)(3

3、6)(37)(38)x2-4a- 1-1)z X - 2 _ x+2x+2 x 一 2a2 - 2a+l2 - 2x-2-k+2 _ l L )+4x2 - 2x K2- 4x+4 工(39)2b22a(44)2LV 由L) x2- 2iy+y2 x2 - y21 -y(40)2衛(wèi)+6J+6x+9 k+3(45)1 - i2(41)2m id卬一 3工 inro2 -9(46)J-lx +6x+92/ . x+Tx+12(Ll)(42)x+2x - 22 - 2x-2-(47)x+1(43)(48)2a 1鏟- 4 2- a(49)(54 )(50)a+152a+6a2 - 81a +6a+9

4、a- 9a+3(55 )rn+1 x 2(51)a+b _ bH>ab be(56 )1 x+2y(52 )a- 1a2 - 4a+4a- 1a2 - 4(57 )(53 )(58 )(59 )（言一）(64 )o 2+ +i) + (1)a+11 - a2(60 )12(61)(62 )(63 )(65 )x+2Hl j2 -1式2- 2乂+1k 2+4x+4(66 )期 2?2-b_sa- b 3a+3b a2 - 2 b£ - k22 , k2生上旺三色-)a - baib(67 )ab + be(1S) + (1-里)(K-口D(68 )b3IEa-b a3 -2a%+

5、ab2 ' b2a2(74 )2l6 +(x+3)?J+，一 x2 - 4i+412- 4k(70 )3x x+y3x-2(75 )(a 一 ) a+1-?2' -oa - 4 a +3a+2(71)J - 1x2 - 2X+1J.x - 2(76 )x+2x?+2x 一 、./c 、2F)? (2 x)X d - 4 富+4X(72 )-4L_ x+1 J T(77 )-a2a2 - 12告)a- 1(73 )2x6 1 3-x1 2 (J-9)(78 )44 + (a+3+-) a2 - 3aa- 3(79 )x - 16 - 2x(84 )工+5(80 )(85 )(81

6、)(86 )1HlJ - 2x+l” -1 (k - 1) (x - 3)(82 )C2) a+2-(87 )3 - x2x - 4(83 )J - 4y2 x?+2xy+ y'x2+xy(88 )(亍陵-41?b 2b a2 - 4ab+4 b 2(89 )nri-1 m1 * 2(94 )阜)X y(91)(92 )(90 )2 x+y/ - h2(93 ) Vaz+2ab+ b3ix£-4)十 2”+)2?42 ab a b a2 - b 42db(95 )(96 )(97 )(98 )2(或+v)2x ya2 - b2 . a2-2ab+b2a2b+ab2ab) 工

7、_ 2 J - 4x+4(b- a) 2(99 ) x - - + ：； 2 - i(104 )x 一 2 x+2(100)乂+2丁 x- 1(105 )x+2（101）2a(106)x2 - y2)2 ly+2Ky+y2 "T(102)x - 1x+1(107 )(103)1 a - 1 _ a2+2a1 -X-.a a2 -1(108 )J-l-2 (1 - K)x+4x+4x+22+x K (k+2)(109)(114 )a2 - 6a+9 .3 - a a2 -4 - b2 2+b 3a _ 9(110)(115 )_ b-1 . bg-l b " + 2b(111

8、)-，2m nd-n(116 )(112)mM36. 2g- 1112 m-3(117 )ab2 . -3a2b2.2 c2 ,4cd-32d(113)上一，一 a _ b b _ a(118 )2a . a - a _aT /-11O. -L(119)(124 ) ：a日+2 a2+2a(120)x2y 1)-x 2 )3+(xy )1(125 )x+1x2-2z+1(121)(126 )x+1n - it) +工x2 - 2x+l x(122)3xx2 -4(127 )x+3(123)(包-4):£+2x(128 )（且一上）y-3 y+3，一922(129)(當(dāng))-(-3)4

9、a'2_2(134 )2-,一b5b 5b(130)L 三:.2d nrFn 2m(135),1、2 M2 一 "I(131) 1- (1-)l K Y2- 2/+1(132)1 3 二 二cd d2(137)4工 4k - 2 1 - 2(QQ A1a , a - a(133 ；a 1 / -1a - 1(138 )21nMirH-1(139)(x - y+) - (x+y- x - yx+y(144 )6x+9 a(140)x+3x+2 x2+5x+6 J+7x+12(145 )(141)(146 )a2+3a .1a +4a+4a+2+ a+2(142)a - 3b j

10、_ a+ba - b +1一 b(147 )2人心.(+)X 1 1 - S工1 X - 1(143)a- b . / 2ab- b,丁 (a ).(148 )al. 2-a a2 - 2a 3 - a 9 a2(149)X K - 1 X(154 )x2 - 4x+4 x - 1 , 1-2 x2 - 2k+1 x2 - 42x+x2(155 )- :- - 1a+2a2 - 4(151)a - 1 . a+1 a2+4a+4a+2(156 ) V/；':上：-(三:/a(152)124 92卬一 3(153)二：x2 - 2x x2- 4x+4 工(158 )a- b . /kaa

11、學(xué)習(xí)資料收集于網(wǎng)絡(luò)，僅供學(xué)習(xí)和參考，如有侵權(quán)，請聯(lián)系網(wǎng)站刪除學(xué)習(xí)資料分式混合運(yùn)算158題參考答案:（1）25_2x 5 2x - 52.2(2)1+1a - b a+b992ab ab+b , a=+,2 _ 2 2 _ ,2 2 b a a b a(a+b )2_ a+b- b 2 (a+bj (a b) a - b(3)2K或一 3x2 - 9 2i (x+3) (x - 3)=-X K 1 3X工(工+3)(工-3) =2v+6 v+3=v+9 =2x+6 x+3=x+9x+3x(4)-2）駕-謁白）魯?(x - 2(戈+3) (x j 3)=一x+3(5)(6)原式=紅一Lx （x -

12、 3）x - 1(x-3)2-1-=_' 9工(£-3)2 =廠9 x2- 6i+9(7)=x+y(8)原式=（土-U 3 =a1(9)a+1盾2y (y-3) Cy+3)原式2y=y 3(10)3K _ 工x - 2x+2,(x+2) (x - 2)=3(11)(12)(x+2) (x- 2)Z-.(x+2)( x 2) =3x+6 x+2=2x+8.(a-2)2a- 1a- 2(a-1) (a+2)2百一4a 1 a 4 4a z a 彳、原式=.=-L=- ( 1)t>2 a b b b 產(chǎn) a - b學(xué)習(xí)資料收集于網(wǎng)絡(luò)，僅供學(xué)習(xí)和參考，如有侵權(quán)，請聯(lián)系網(wǎng)站刪除學(xué)

13、習(xí)資料(13)解：原式=.,.-一3V2 Tx 10y(14)解：原式=工,'1,-(x+l) (x+2)x+2x+1、盾#_(工-1)G+2)+3) (x-1) , (x+3) (x-1)(15) ?(x+2) 2(x+2) (x - 2) (x - y) 2)一一_"T,21? 一一二 二-(k42) 2(2x+3) (l1)(x-y) (k - 2)(Hl) (K - 1)(x+2 ) 2(16)原式j(luò)L x+1”仁4欄-5eT -言一 1原式a(19)&-1 迫當(dāng)-(迫)(a+1) (aT) a+1a+1a+1 _ a _ 2 _ _ a+1a+1(20)原式

14、-工十,二（21）原式-（a+1）（&；1）x產(chǎn)】、上且（a+1 ）2 a （a- 1）a+1 a+1(22)3二一；27b，256 a(23)53)-11-3(24)2原式=一':36?y4 y2 16i2h c 2 or 44 a 2 2lox Jbx y 9x y(25)3_ 6 x 1 - xx+5 3 tx - 1)6K3x - 3+6x - x - 5-；:.+二:.：-x2 - x X(X 1 ) X (X - 1) X(X - 1)x (l 1)=- 8=£(k-1) =gx Cx 1) x (i - 1) K2_21 -?= (26)( -) 3.

15、( 一 ) 2 + (為)4=4 - acaba(28)(a+2 ?a(&- 2)a (a- 2)(a-2) 2 a上一(Ll),4 - a (a- 2) (4-a.)a2 - 4-曉+a:.(a- 2) (4- a)a- 4:,(a- 2) (qa),-.a - 2(a- 1) 2(a 1) =2(29)原式=(a+1) - = (a+1)a-1(30)原式=1(31)原式(升1 ) 2 a (aj1)a+1a+1a-l a2 - a(34)原式= '：l ：='x2 - 4 x2 - 4 廠 2(35)原式=L?( a 1) 2=a 1 . a- 1(36)原式=&

16、#39;(a+1) (a-1)(a+2) 2C-<= ' 一a+1 a+2(37)(38)(39)(40)(41)(42)(43)(44)(45)(46)(47)(48)(49)(50)(51)(52)B _ (x - 2 ) 2- (x+2) j (x-2) _8=> = (x+2) (l2)x 2x+2原式=工 - 1 x _L=“ - 4x =1kG2)(x-2)2，4 1 62)2 五7 (x-g) 26 L 3原式='-' =a4bb22原式= _：一 一= 一二(戈+3) (x _ 3)2 (i+3)x+3 J - g- ) +-=( 2m _

17、m )x(/3)_(m _ 3) =2 3)( m+3 =m 9.nH-3 id- 3 m2 - g nH-3 m- 3m原式=7 X-l_ - 、, _1_+ 3工=1 x+x2=x2 - x+1. 工.工/工工原式=(y (z+yj(x _ y) (s - y) (x+y) (x - y)Z _1 - V xy _ xy )入入1 J y x - y 1 _ y z - ：2x+l - (1 - x)原式=(1 + x) (1 - x)原式=原式=原式=(1 - K) (1+工)1一=3 (1+x)(x+1) (x -1)1(k+3) (x+4)_x+4(x+3) 2 L 1x+1L一+-

18、=1 一人+-+-(2x - 1) 2 X (x+1) K X (2x - 1) X s - 12aa+2a- 2a2 - 4Ca+2) Ca- 2)(a+2j (a- 2) a+2-a+15Q+9) (a- 9)a+3 a+i5 a+9 a+15 - 2a-18 - (a+3)1=2 (a+3)(a+3) 2 a - 9 2 (a+3)a+32 (a+3)2 (a+3)2h c (a+b) a (b+c) ac+bc _ ab _ ac be _ ab b (c - a) c " 3原式=-=abc abcabc abc abc ac 1 - 1 = 1 ' - - 1 二

19、一一 '1 :二 ： 二-)(53)2n原式=J ,一：,'=.,*(54)原式=-K +2- - K +4_義2 . K Cx - 2) (i+2) 4x1x+2(55)原式=-m(m-l).口？ (El) 2=身(ttri-1) (m- 1) ra (坨-1) 2 1 -ir(56)原式=1 - B"+為)=1日紅尸V-l2工一工x+2y (x+y) (x - y) x+y x+y x+y(58)原式="?IxL =21之11aa（59）原式=e一-（戈-2 i - 2(60)原式=里 _2(*)=1"-6= -2 (1)=工(nri-3) C

20、io- 3)(nH-3) (m_ 3) CnH-3) (m_ 3)(nH-3) (m- 3)/3(61)原式="?Ll)=k+2-"1=3x+1(x+1) (x_ 1)(x+2)2 x+1(x+1) (i+2)Cx+1) (k+2)J+3x+2（62）原式=（.）aa- bab _ ab(a+b) 2b(63)原式=-x (m+n) (m n) = (m+n) 2. m m - n(64)甫#_2d+l 1-4at2日+1 (升1) (a- D _ a- 1a+1i-/ a+i (2a+l)(2a - 1)2a- 1、由-x6x_ 3 x 3 x_ 3(65)原式=i yx

21、-JL- - _=x+3 (x+3) (x- 3)2x+3 k+3 k+3(66)原式-.(a - b )3 (a+b)(a+b) (a_ b)>ia2 (a+b)ab2 (a+b) * - Mb 2a2+ab+2b2、=_，_、/=3 ( a - b)(a+b) Ca_ b) 3 ( ac+b) (a- b) 3 (aJ-b) (a- b)(67)原式=ac - bc+ab - ac+bc - ab -0(68)原式-+ a - b ab2(b- a)(69)(70)2 (冥+v x+y 3 K,-y)”( 7X金一殺2乂3x 3K(x - y) 2 2x2 - 4xy+2y2(71)

22、J - 1 _ x2 - 2x t s2 - 2s+l x-2(x - 1) (x+1) X (x - 2)(x - 1) 2：="-】= X X - 1 S -(72)原式=二 = =1(73)原式=一（一2 （x+3）x - 3 - 2 (k+3) +工x 3 2 (x - 3) (x+3) 2 (x * 3) (x+3) 2 (x* 3) (x+3)2 (9- x2) 18-2x2(74)原式/l3）x（l2）G+3）（x- 2）2 s+34（3- x）(75)2原式=三+v a (a- 2) (a+2) vXXa+1Ca+2) (arid) a+1(76)原式=位- X X

23、? (2-X)2X(H2)(X- 2) 2 L 4.，：；, 一 1 一，：.2二弓><? （2-X）=箕（X- 2）2廠 4(77)原式=a2(1_ a) (1+a)2 乂 M L 1+曰7一(a- 1) 2 1-a(78)原式=(a-2) (a+2)a (a _ 3)(a- 2) (a+2) a 3 _ia (a- 3)a2 - 4 a(79)(x+3)12 (x - 1) (x+3) +x-3g-/ 6-2x 2 (x2 -9)2 ( x2 - 9)9)2K+6 - 12+ x 3 x2+4x - 92 (J -9)2 (x2 -9)原式=(3)2WL=3x+l x - 1

24、x+1(80)(或/-)彳(-+2-y (x+y)y (x+2y) - x (x+y) x (x - y) +2y (x - y) - xy 2y2 - x2 y (k - y)一.；，：+；'? ?=/=e- 4+30i - 27 30i - 23(81)原式= =536k236 T(82)原式=a2-4+4 a2(83)原式=代公("V)= J-2一(肝V)2 x+2y 工+f(84)原式/("D + _注_ 肝5=8(K-1)=色X (1-1) X ( I - 1) X (X - 1 ) X (X - 1 ) X(85)原式=(x+1 ) (x T) (出-匚

25、! ("1，Ll'),(x+1) (x _ 1)Cx+1) (x _ 1)(x+1) (y - 1)=x+1 x+1(x+1) (xT) = x2+3.(86)原式=_J_ 匚乂_“1),-'=0.x+1(x+1) (K - 1) (X - 1)(x- 3)x+1 X - 1(87)原式=3r +*(l2)工)=2 (i-2)宜一 2x _ 22 (x+3)"百#-，a-2b a-b(a+2b) (a-2b) _ -b v (a- 2b) 2_ b(88)=a - 2b a-2b (a- 2b) ? a_ 2b (a+2b) (a- 2b) a+2b(89)

26、原式=m"l)-x (m 1)J 上 一_】._ i. _2(91)原式=加_,1+/久、x (i-2)(92)原式=(x - 2) (x+2) -2x- 1+k+2=3k+12(a+b),(93)原式=G+b)+2* 色、_2_(a+b) ab (a+b) r-b42aba2 - b2 2ab2=:-+);(a+b)(a+b) J - b'+2ab(a+2) (a- 2) +4 a2(96)原式=-a-2 a - 2(97)原式=(a+b) (a - b)ab (a+b)?-=(a- b) 2 (a- b) 2 (a- b) 3(98)原式=*?二+?七j-+2+4=(H2

27、)(L2)+4= xx - 2 x (x - 2) 2 x x x (i_ 2) x (k - 2) x - 2(99)原式=(x+3)2 +4= J+工-2i - 2k 2(100)原式=.(101)(102)(103)(104)(106)原式=紅，= 2- D =三(a-2) 3+2)a-2 (a- 2) (&2)(a- 2) (a+2)a+2原式="1)J , ？ - I1=LC2? 1 ' I11=-(X - 1 )(x+1)X(X - 1)(x+1 )K工原式=1_J_Zlx_/(&+_=1 _$=-'.a (a+1) (a -1)a+1 a

28、+1二l=4 us a =五一 2 k+2 J - 4 (x+2) (x_ 2)x x(105)6)。(與3 ,(Y)4444 xyy x x y、,XVx+v原式=(x+y)(X V)X工 X7；=y(x+y) 2 f 5¥)(107)2工(x+3)(x+3) 22 (x - 3)(x- 3) (i+3) 2(x-3)(i+3) 2(，-3) (i+3) 22 K*+6k- x2_6x-9 - 2x+6x+1(k - 3) (x+3)2(x+3) 2(108) - (Lx) 羋xz+4x+4d+x(x+1) (x-1) i什 2x (x+2)(宣+2)21 - x x (x+1)3

29、 (k+2)3 (x+2) x (i+2) x (i+2)(109)原式=(a- 3 ) 2(b+2) (b-2)b+2a2 a- 3 a2=(a - 3)3 (a- 3)b+2 3 (a - 3)3 (a-3 ) 2 T (b+2) -327- -2a21 ：=一：（110）一="_=+ n(工+2) CI _ 2)(x+2j Cx _ 2)Cx+2) Ci _ 2)_ x - 2_ 1(x+2) Cx - 2)x+2(111)112m nrbn/ nH-n_ in- n)_1_ - -1_ .葉門+"n=1_!_+i=i2ir Wn 2rn 時(shí)口 2ir 2ir(112

30、)原式= 1 +：?' '= ；1 +二=1 ； =1/3 CnH-3) (io- 3)2/3 ird-3(113)原式=工_=_=&+> _ a_L_ a- b a _ b b a - b(114)原式=2y(H3) - y (y- 3) ? (y+3) (y- 3)(y+3) (y- 3)d+9y(y+3) (y- 3)(y+3) Cy- 3)yV (y+9)(y+3) (y- 3)(y+3) Cy- 3) =y+9(115)b - 1原式=1 £_£?.bb (b+2)(b+1) (b-1)b+1=1衛(wèi)里=!旦二=b+1b+1 b+1(1

31、16)原式=1=x-y.x - y(117)原式=三二 2c24cd-3-3a%2 2d(118)原式="二二a 1 a Ca - 1)a+1a - 1,=a - 1 a119)原式= ： 1二工 =-1;x- 2 y- 2 犬-2 i- 2 x- 2-：=x- 2(3 - x) (3+工)3+x(120)原式=X 6y3? ( x6)殳1y 1= y3a 1y 1= xy4(121)原式=：+ -= -in*n m- n mn 皿一口 皿一u(122)原式=) ? 2)_'*+2)=3 (x+2) x- 2 x+2x(123)原式=1(x 2) =3x+6 x+2=2x+8

32、=x 2(124)皿阡上一Ji=1 a a+2 a (a+2) a二.j _1 一?_a (a+2) a (a_ 1) (a+1)=1社+?a+1a+1- «+2)=a+1a+1(125)原式=2x+1(126)原式=工="1'_1 > 三XX工(篁-1) (X - 1) 2 X x(X - 1) 23 (x - 1) 2(127)原式= 匚P - 9X(廠 3)(J-3) 2 X.lx+3) Cx- 3) X(X- 1)、乂 - 9 J9- J+k、，K 1石9 =虧=Wx(l3) x (x - 3 )* x (x - 3 )x-9 (x - 3 )(128

33、)原式=2y (y+3)(y- 3) (jH-3)了一；? 11(y- 3) Cy+3)yy 2+9yCy+3) (y 3)(y+3) (y-3)一=y+9. y129)原式=包14生爪=2i31拄16a*816”(130)原式=1-2m nri-n 2m rrrn1 .TH =0(131)原式=1Cx-1) 2(乂 T) 2 (x - 1) 2x2- x+12 - s+1(132)fii 3 .32原式=-總工?-43i9 2a a 2 c d " 4 aaVcd3(133)-=-:?=a - 1 a-1 a _1 a -1(134)2原式=b2(135)原式=k+2 (i-2)925b%?4 5b 4ab"4 x 1?=-X(K- 2 ) 士 工- 4 ”一效+4a原式二-會）晉苧巖（141）原式=2 （舟2） 而4,3 m，irH-1mH 4 - 1tl 2加4(142) a - 3b+a+b 2a - 2b 2 (a - b) o原式=2a- b a * ba- b(143)原式=(a-b ) 2 曠b(138)型tA-n ( 3 一/1)=2 'n+2)+( 3 _史_二1) r