初二数学测试题大全一、判断题。
1. ( )2.=x2-y2 ( )3. ( )4. ( )5. 3a3x-4b3y+3b3x-4a3y=(a3+b3)(3x-4y) ( )6. (x-y)4+x(y-x)2+y(y-x)3=2(x-y)2(x-y+1) ( )7. 整式和分式统称有理式. ( )8. x2-16y2-8y-1=(x+4y+1)(x-4y+1) ( )9. ( )10. 把一个多项式化成几个整式的积的形式叫做多项式的因式分解. ( )11. ( )12. a2+2ab+b2=(a+b)2 ( )13. -4x3+8x2-4x=-4x(x-1)2 ( )14. ( )15. ( )16.甲用x小时走完s千米, 乙比甲早出发a小时, 早到b小时,那么乙每小时走千米. ( )17. ( )18. 25y2-4a2-12ab-9b2=(5y+2a+3b)(5y-2a+3b) ( )19. 用A、B表示两个整式, 如果B中含有字母, 式子就叫做分式. ( )20. ( )21. 2a6-32a2b4=2a2(a2+4b2)(a+2b)(a-2b) ( )22. ( )23. ( )24. -x3y3-x2y2+xy=-xy(x2y2+xy-1) ( )25. -8a3+27b3=-(2a-3b)(4a2+6ab+9b2) ( )26. 361-(3a+2b)2=(19-3a-2b)(19+3a+2b) ( )27. ( )28. a2+b2-9c2-1-2ab-6c=(a-b-3c-1)(a-b+3c+1) ( )29. (x+2)(x-3)(x2-7)+(2+x)(3-x)(x+3)=(x+2)(x-3)(x2+x-4) ( )30. 10ab-3+6b-5a=(5a+3)(2b-1) ( )31. 873-763是11的倍数 ( )32. (m-n)2-2(m2-n2)+(m+n)2=2n2 ( )33. 2-2a4=2(1+a2)(1+a)(1-a) ( )34. ( )35. m2-n2-m+n=(m-n)(m+n-1) ( )36. ( )37. x3-2x2y+xy2=x(x-y)2 ( )38. 当x=-3时, ( )39. ( )40. x2-2xy+y2-1=(x-y+1)(x-y-1) ( )41. 将a2-b2+2b-1分解因式得(a+b-1)(a-b+1) ( )42. 12x5-24x3+18x2=6x2(2x3-4x+3) ( )43. ( )44. ( )45. ( )46. 25x2y4z16-1=(5xy2z4-1)(5xy2z4+1) ( )47. x2(x+1)-y(xy+x)=x(x-y)(x+y+1) ( )48. -a m-1+14a m-49a m+1=-a m-1(1-7a)2 ( )49. ab(x2+1)+x(a2+b2)=(a+bx)(b+ax) ( )50. a4-3a3+3a2-a=a(a-1)3 ( )51. 1-x6=(1-x3)(1+x3)=(1-x)(1+x)(1-x+x2)(1+x+x2) ( )52. a9-ab2=a(a4+b)(a4-b) ( )53. x3m+3-64y3=(x m+1-4y)(x2m+2+4x m+1y+16y2) ( )54. a m-1-a m+2+a m-a m+1=a m-1(1+a)2(1-a) ( )55. a2(a+1)-b2(b+1)=(a-b)(a2+ab+b2+a+b) ( )56. ( )57. (x+1)2+x(3x+2)=(2x+1)2( )58. 5x2m+3y4n+2-10x3m+7y2n+1=5x2m+3y2n+1·(y2n+1+2x m+4) ( )59. a2n+a n+1-a n=a n(a n+a-1) ( )60. ( )61. 8m3(m2-n2)-27n6(n2-m2)=(m2-n2)(2m+3n2)(4m2-6mn2+9n4) ( )62. 8a3(x3-y6)+(y6-x3)=(x-y2)(x2+xy2+y4)(2a-1)(4a2+2a+1) ( )63. a8-81b8=(a4-9b4)(a4+9b4) ( )64. a16-b16=(a-b)(a+b)(a2+b2)(a4+b4)(a8+b8) ( )65. a4-4a3+4a2-9=(a2-2a-3)(a2-2a+3) ( )66. ( )67. a2-b2+m2-n2+2(am-bn)=(a+m+b +n )(a+m-b -n ) ( )68. ab(c2-d2)-cd(a2-b2)=(ac+bd)(bc-ad) ( )69. 1+12x2y2+48x4y4+64x6y6=(1+4x2y2)3 ( )70. x5+x4y+2x3y2+2x2y3+xy4+y5=(x+y)(x2+y2)2 ( )71. -a m+1y2n-1+a m-1y2n+1=a m-1y2n-1(-a2+y2) ( )72. 2(a2-3mn)+a(4m-3n)=(a+2m)(2a-3n) ( )73. ( )74. (a+b+c)3-(a3+b3+c3)=3(a+b)(b+c)(a+c) ( )75. a3m-a3m+3=a3m(1-a)(1+a+a2) ( )76. 343m6-125n12=(7m2-5n4)(49m4+35m2n4+25n8) ( )77. 1+x+x(x+1)+x(x+1)2+x(x+1)3=(1+x)4 ( )78. a m+4-8a m+3-16a m+2=a m+2(a2-8a-16) ( )79. x3-x2-x-y3+y2+y=(x-y)(x2+xy+y2-x-y-1) ( )80. (x+y)3+2xy(1-x-y)-1=(x+y-1)(x2+y2+x+y+1) ( )81. -12a2m+1b m+2+20a m+1b2m+4=-4a m+1b m+2(3a m-5b m+2) ( )82. a m+3-a m b3=a m(a-b)(a2+ab+b2) ( )83. (a-b)n+3-(a-b)n=(a-b)n(a-b-1)(a2+b2-2ab+a-b+1) ( )二、单选题。
84. 的结果是 [ ]A.a+5 B. C.a2-1 D.a2-a+185. 4xy+2y-8x-y2的结果是 [ ] A.(4y+x)(y-2)B.(4x-y)(y -2)C.(4x+y)(y+2)D.(4x+y)(y -2)86. 当x=____时, 分式没有意义. [ ] A.x=3 B.x=-3 C.x=±3 D.x=487. 等于 [ ] A. B. C. D.88. [ ] A.- B. C. D.-89.4a2-b2+c2-4ac等于[]A.(2a-c+b)(2a+c-b)B.(2a-c+b)(2a-c-b)C.(2a+c+b)(2a-c-b)D.(2a+c-b)(2a-c-b)90. 若代数式有意义, 则x的取值范围是 [ ]A.x≠1,x≠- 2B.x≠1,x≠2C.x≠1,x≠-2, x≠2D.x≠1,x≠-2, x≠2,x≠-191. a2-2ab+b2-c2等于[ ] A.(a-b+c)(a-b-c)B.(a+b+c)(a-b-c)C.(a-b+c)(a+b-c)D.(a-b+c)(a+b+c)92. 已知的值是 [ ] A.- B. C.- D.93. 54-2y3等于 [ ] A.2(3-y)(9+3y+y2)B.(3-y)(9+3y+y2)C.(27-y3)D.2(27-y3)94. a2(x-2a)2-a(2a-x)2 因式分解的结果是 [ ]A.a(x-2a)2(a-1)B.(x-2a)2(a2-a)C.a(x-2a)2(a+1)D.(x-2a)2(a2+a)95. 使分式有意义的条件是 [ ] A.x≠2 B.x≠-2 C.x≠2且x≠-2 D.x≠096. 已知的值为[ ] A.-1 B.1 C.1 D.97. 计算的结果是 [ ] A. -1 B. 0 C. 1 D. 298. x3-xyz+x2y-x2z等于 [ ] A.(x-y)(x2-xz) B.(x+y)(x2-xz) C.x(x+y)(x+z) D.x(x+y)(x-z)99. 计算: [ ] A. B. C. D.100. 若分式无意义,则[ ] A. x=1 B. x=-1 C. x=1或x=-1 D.没有这样的有理数101. -a2-14ab-49b2=[ ] A.(a+7b) B.-(a+7b)(a-7b) C.-(a+7b)2 D.(a+7b)2102.=[ ] A. B. C. D.-103. x2+6x+9等于[ ] A.(x-3)2 B.(x+3)2 C.(x-3)3 D.(x+3)3104. 下列等式中,正确的是:[ ] A. B.=-1 C. D.105. 下列等式中正确的是 [ ]A. B. C. D.106.=[ ] A.x-1 B.-x+1 C.-x-1 D.x+1107. ÷ax的结果是 [ ] A. B. C. D.108. 的结果是 [ ] A. -2 B. 2 C. -1 D. 1109. 的结果是 [ ] A. B.- C. D.110. 3x2-3y2等于 [ ] A.(x-y)(x+y) B.3(x-y)(x+y) C.3(x-y)2 D.3(x2-y2)111. [ ] A. B.- C.- D.-112. 5a2-7a-5ab+7b等于 [ ] A.(a-b)(5a-7) B.(a+b)(5a-7) C.(a+b)(5a+7) D.(a-b)(5a+7)113. a2-b2+4b-4等于 [ ] A.(a+b-2)(a-b+2) B.(a-b-2)(a-b+2) C.(a+b+2)(a-b+2) D.(a+b-2)(a+b-2)114. 的结果是[ ] A. -a-5 B. -a+5 C. a-5 D. a+5115. 下列各式中, 正确的是[] A. B. C. D.=a+b 116. a2b+a2-4b-4等于 [ ] A.(b+1)(a+2) B.(b+1)(a-2) C.(b+1)(a+2)(a-2) D.(b+1)(a2-4)117. 如果分式的值为零, 那么x的值为 [ ] A.30 B.0 C.1 D.2118. -7ab+21abx-28aby等于 [ ] A.-7(ab+3x+4y) B.-7ab(1-3x+4y) C.-7ab(4y-3x) D.7ab(1-3x+4y)119. 若1<x<2, 则分式的值为[ ] A. -1 B. 3 C. 1 D. 2120.的结果是 [ ] A. B. C. D.121. x3+x-y-y3等于[ ] A.(x+y)(x2-xy+y2+1) B.(x-y)(x2+xy+y2+1) C.(x2+xy+y2)(x-y) D.(x2-xy+y2+x) 122.=[ ] A. B. C. D.123. [ ] A. B.- C.- D. 124. 的结果是 [ ] A. -1 B. 0 C. 1 D. 2125. 等于 [ ] A. B. C. D.126. 下列因式分解,完全正确的是 [ ]A. B.C. D.127. 多项式2a2+2ab+b2分解因式的结果是[ ] A.2(a+b)2 B.(2a+b)2 C.(2a+b)2 D.128. 分式的值为零时, x的值是 [ ] A.2 B.-1 C.2, -1 D.3, -1129. 已知x为非零实数,那么的值是[ ] A.-1或3 B.1或3 C.-1或-3 D.1或-3 130. m2n-mn2-3m+3n等于 [ ] A.(m-n)(mn-3) B.(m+n)(mn-3) C.(m+n)(mn+3) D.(m-n)(mn+3) 131. 25x2-9y2等于 [ ] A.(5x+3y)(5x-y) B.(5x-3y)2 C.(5x+3y)(5x-3y) D.(25x+9y)(x-y)132. =等于 [ ] A.- B. C. D.-133. 计算= [ ] A. - B. - C. D.134. 1-n4等于 [ ] A.(1+n2)(1-n)2 B.(1+n2)(1+n)(1-n) C.(1+n)2(n-1)(1-n) D.(1+n2)(n-1)(1+n) 135. 当-3<x<4时, 化简分式的结果是 [ ] A.2 B.0 C.-1 D.-2 136. 分式中的x和y都扩大2倍, 那么分式的值[ ] A.扩大两倍 B.不变 C.扩大四倍 D.缩小两倍137. 已知的值为 [ ] A. B. C.- D.-138. 在分式中, 当a=________时分式无意义. [ ] A.0 B.2 C.-2 D.1 139. a3+a2-2ab+b2-b3等于 [ ]A.(a+b)(a2+ab+b2+a-b)B.(a-b)(a2-ab+b2+a-b)C.(a-b)(a2+ab+b2+a-b)D.(a-b)(a2-ab-b2-a+b)140. 在有理数范围内,4x-x5等于 [ ] A.x(2+x2)(2-x2) B.x(2-x)2 C.x(2+x2)2 D.x(2+x2)141. 8x2y2-16xy+8等于 [ ] A.(xy-1)2 B.(xy+1)2 C.8(xy-1)2 D.8(xy+1)2142. x2y-x2z+y2z-y3等于 [ ] A.(y-z)(x2-y2) B.(y-z)(x-y)(x+y) C.(y-z)2(x-y) D.(y-z)(x+y)2143. 2x3+16等于 [ ] A.(x+2)(x2-2x+4)B.2(x+2)(x2+2x+4)C.2(x+2)(x2-2x+4)D.2(x+2)(x2-2x-4)144. x2-y2+3x+3y等于 [ ]A.(x+y)(x+y-3) B.(x-y)(x+y+3) C.(x+y)(x-y-3) D.(x+y)(x-y+3)145. 的结果是 [ ]A. -B. -C.D.146. x2-4y2+x+2y等于[ ] A.(x+2y)(x-2y+1)B.(x-2y)(x-2y+1)C.(x+2y)(x+2y+1)D.(x+2y)(x-2y-1)147. 等于 [ ] A. B. C. D.148. x2+y2-z2+2xy等于[ ]A.(x+y+z)(x+y-z)B.(x-y-z)(x+y+z)C.(x-y-z)(x+y-z)D.(x-y+z)(x+y-z)149. 等于 [ ] A. B. - C. - D. -150. (a+2b)2-(x-3y)2等于[ ]A.(a-2b-x+3y)(a-2b-x-3y)B.(a+2b-x-3y)(a+2b-x-3y)C.(a+2b+x-3y)(a+2b-x+3y)D.(a-2b+x-3y)(a-2b-x+3y)151. a3-b3的结果是: [ ]A.a3-b3=(a-b)(a2+2ab+b2)B.a3-b3=(a-b)(a2-2ab+b2)C.a3-b3=(a-b)(a2-ab+b2)D.a3-b3=(a-b)(a2+ab+b2)152. 8x6+x3等于 [ ]A.x3(2x+1)(4x2-2x+1)B.x3(2x-1)(4x2-2x+1)C.x3(2x+1)(4x2+2x+1)D.x3(2x+1)(4x2+2x-1)153.下列分式中, 与分式的值相等的是[]A. B.- C. D.-154. 已知x=3y, 则的值为 [ ]A. B. C.- D.-155. a3-ab2+a-b等于[ ] A.(a-b)(a2+ab+1)B.(a-b)(a2-ab+1)C.(a+b)(a2+ab+1)D.(a+b)(a2+ab-1)156. a2-20a+100等于 [ ] A.(a+10)2 B.(a-1)2 C.(a-10) D.(a-10)2157. 若分式的值等于零, 则x的值为 [ ] A.1 B.±1 C. D.-1158. [ ] A. B. C. D.159.把分式中的x和y都扩大3倍,那么分式的值 []A.扩大了3倍B.不变C.缩小了3倍D.扩大了9倍160. 分式恒等于[ ] A. B. C. D.161. x2-y2+2x+1等于[ ] A.(x+y+1)(x-y+1)B.(x-y+1)(x-y-1)C.(x+y-1)(x-y-1)D.(x+y-1)(x-y+1)162.的结果是 [ ] A. B. C. D.163. 的结果是 [ ] A. x-4 B. x-5 C. x-6 D. x-7 164. 下列各恒等变形中, 是因式分解的是: [ ]A.a2-2ab+b2=(a-b)2B.(a+b)2=a2+2ab+b2C.a2b+ab2+c=ab(a+b)+cD.a2-2ab+b2-c=(a-b)2-c165.4xy+1-4x2-y2等于[ ]A.(1+2x-y)(1-2x+y)B.(1+2x+y)(1+2x-y)C.(1-2x-y)(1+2x+y)D.(4-2x+y)(2-3x-y)166. 的值= [ ] A. B. C. D.167. -xy等于 [ ] A. B. C. D.168. 计算的结果是 [ ]A. B. C. D.169. 16x2+56xy+49y2等于 [ ] A.(4x-7y)2 B.(4x+7y)2 C.(4x+y)2 D.(x+7y)2170. 4-4a2+8ab-4b2分解因式的结果是 [ ]A.4(1-a+b)(1+a-b)B.(2-2a+2b)(2+2a+2b)C.(2-2a+2b)(2+2a-2b)D.4〔1-(a-b)2〕171. (x-3)(3x-2)-7(x-3)的结果是[ ] A. 3(x-3)(x-3)B. (x-3)(3x-9) C. 3(x-3)2 D. 3(x-3)172. [ ] A. B. C. D.173. 等于 [ ] A. B. C. D.174. 当x=_____时, 分式没有意义. [ ] A.-4 B.0 C.4 D.1175. 多项式a2-36b2分解因式的结果是:[ ]A.(a2-6b)(a2+6b)B.(a+6b2)(a-6b2)C.(a+6b)(a-6b)D.(a+36b)(a-36b)176. 下列因式分解正确的是 [ ]A.B.C.D.177. x3-xy2因式分解的结果是 [ ] A.x(x2-y2) B.x(x-y)2 C.-x(x2+y2) D.x(x-y)(x+y) 178. 分解因式a2b2-b4等于: [ ] A.b2(a+b)(b-a) B.b2(a-b)2 C.b2(a+b)(a-b) D.b2(a+b)2 179.x n-y m分解因式为(x-y)(x2+xy+y2),那么m、n的值是[ ]A.m=3,n=3B.m=2,n=2C.m=3,n=2D.m=4,n=4180. 使分式的值为正的条件是 [ ] A.x< B.x> C.x<0 D.x>0181.多项式m(a-2)+(2-a)分解因式的结果是[ ] A.(a-2)(m+1)B.(a-2)(m-1)C.(2-a)(m+1)D.(2-a)(m-1)182. [ ] A. -a3 B. -a4 C. -a5 D. -a6183. 18x3n y m+27x n y2m的公因式是 [ ] A.3x n y m B.9x n y m C.3x n y m+1 D.9x n y2m184. x2y2+x2y-4xy-2x+4等于 [ ]A.(xy-2)(y+x+2)B.(xy+2)(xy+x-2)C.(xy-2)(xy+x-2)D.(xy-2)(xy-x+2)185. 在有理数范围内 a8-81b8等于 [ ]A.(a2-3b2)2(a2+3b2)2B.(a4-9b4)(a4+9b4)C.(a4+9b4)(a2-3b2)(a2+3b2)D.(a4-9b4)2186. = [ ] A.a B.-a C.a2 D.2a187. 等于 [ ] A. 1 B. 2 C. 3 D. 4 188. 将多项式16x8-1在有理数范围内分解因式, 正确的结果是: [ ]A.(4x4+1)(4x4-1)B.(4x4+1)(2x2+1)(2x2-1)C.(2x2+1)2(2x2-1)2D.(2x2+2x+1)(2x2-2x+1)(2x2+1)(2x2-1)189. 多项式a m-1-a m+2+a m+a m+1的公因式是: [ ] A.a m B.a m-1 C.a m+1 D.a m+2190. 2x3n-12x2n y2+18x n y4等于 [ ] A.2x n(x n-3y2)2 B.2x n(x n-3y2) C.x n(2x n-6y2)2 D.2x(x n-3y2)2191. 的结果是 [ ] A.- B.- C. D.192. 的结果是 [ ] A. -2 B. -1 C. 1 D. 2 193. 把27x2n-3x2n+2(n为自然数)分解因式是: [ ]A.3x2n(9-x2)B.3x2n(3+x)(3-x)C.3x n(3+x)(3-x)D.以上答案都不对194. a6+a4-a2-1 [ ] A.(a-1)3(a+1)3 B.(a+1)2(a-1)2 C.(a2+1)2(a+1)(a-1) D.(a2+1)2(a+1) 195. 将多项式: -5x2m+1y n+2-15x m+1y2n+1因式分解的正确结果是: [ ]A. -5x m+1y n+2(x m+3y n-1)B. -5x m y n(x m+1y2+3xy n+1)C. -5x2m+1y2n+1(y-n+1+3x-m)D. -5xy(x2m y n+1+3x m y2n)196. a m b n-a n b m(其中m>n)分解因式的结果是 [ ]A.a m b n(1-b m-n)B.a n b n(a m-n-b m-n)C.a m b m(b n-a n)D.ab(a m-1-b m-1)197. 如果a+b=2c,且a≠b,则= [ ] A.-4 B.-2 C.0 D.2198. 的结果是 [ ] A. B. C. D. 199.a5-a3+a2-1等于[ ]A.(a2-1)(a3+1)B.(a+1)2(a-1)(a2-a+1)C.(a+1)(a-1)(a3+1)D.(a-1)2(a+1)(a2-a+1)200. 多项式-3x2n-9x n分解因式, 其结果是: [ ] A.3(-x2n+3x n) B.-(x2n-3x n) C.-3x n(x n+3) D.-3x n(x2+3) 三、填空题。