1、入学考试（专本理科）复习题一、单项选择题(只有一个选项正确，共 119 道小题)1. 曲面 x2+y2+z2=12 在点（2.2.2）的切平面方程是（ ）(A) x+y+z=4(B) x+y+z=12(C) x+y+z=2(D) x+y+z=6正确答案：D解答参考：2. 设平面区域(a)由 x 轴，y 轴及直 x+y=1 围成，则二重积分 化为累次积分后为（ ） (A) (B) (C) (D) 正确答案：A解答参考：3. 设 3x2+4y2-1=0,则 dy/dx=()(A) 4y/3x(B) 3x/4y(C) -3x/4y(D) -4y/3x正确答案：C解答参考：4. 函数 y=1/(x+2
2、)单调减少的区间是()(A) (B) (C) (D) 正确答案：C解答参考：5. 的原函数是（ ）(A) arcsinx(B) -arcsinx(C) (D) 正确答案：C解答参考：6. ()(A) 0(B) 1/4(C) 1/2(D) 1正确答案：B解答参考：7. 函数 f(x)=1+xsin2x 是()(A) 奇函数(B) 偶函数(C) 有界函数(D) 非奇非偶函数正确答案：B解答参考：8. 下列平面中过点（3，-1， 5）且与直线平行 x/2=(-y/1)=z/0 的平面为()(A) z-5=0(B) x-3=0(C) y+1=0(D) (x-3)/2=(y+1)/-1正确答案：A解答参
3、考：9. 级数 的收敛区间是()(A) (B) (-2,2)(C) -2,2(D) 正确答案：A解答参考：10. 设函数 u=ln(x2+y2+z2)，则 du| (1,1,1)= （ ）(A) (dx+dy+dz)/3(B) 2(dx+dy+dz)/3(C) dx+dy+dz(D) 4(dx+dy+dz)/3正确答案：A解答参考：11. 级数 （ ）(A) 收敛(B) 绝对收敛(C) 的敛散性无法判断(D) 发散正确答案：D解答参考：12. ()(A) cos3x/3+C(B) -cos3x/3+C(C) -cos3x+C(D) cos3x+C正确答案：B解答参考：13. 设 f(x)是 的
4、连续函数，则 （）(A) 2f(x2)(B) 2x2f(t*t)(C) f(t2)(D) f(x2) 正确答案：A解答参考：14. 设 ，则 （）(A) 1/（1+sin2x）(B) cosx/（1+sin2x）(C) -cosx/（1+sin2x）(D) -1/（1+sin2x）正确答案：C解答参考：15. 当 D=(x,y)|-10,a 不为 0)，则 dy=（ ）(A) dx/x(B) 1/x(C) 1/xlna(D) dx/xlna正确答案：D解答参考：20. 下列集合可作为一条有向直线在空间直角坐标系中的方向角 的是（）(A) 45，45 ，60(B) 45，60， 60(C) 30
5、，45， 60，(D) 45，60 ，90正确答案：B解答参考：21. 的正确答案是（）(A) -cos2x(B) 2xsinx2(C) 2xcosx4(D) sin2x正确答案：C解答参考：22. 设 a0,b0，则(A) 不存在(B) a/b(C) (D) ln(a/b)正确答案：D解答参考：23. 在抛物线 y=x2 上点 M 的切线的倾角为 45 度，则点 M 的坐标为（ ）(A) （1/2，1/4）(B) （1，1）(C) （1/4，1/2）(D) （-1 ，1）正确答案：A解答参考：24. 函数 的周期是（ ）(A) 2(B) (C) /2(D) 0正确答案：B解答参考：25. 过
6、点（1，0，2）且与已知直线 平行的直线为()(A) (B) (C) (D) 正确答案：D解答参考：26. 设 则 （）(A) 2f(x)(B) f(4x)(C) f(2x)(D) 2f(2x)正确答案：D解答参考：27. 级数 =()(A) 收敛(B) 绝对收敛(C) 不一定发散(D) 发散正确答案：D解答参考：28. =（ ）(A) 1/2(B) 0(C) 1(D) 正确答案：B解答参考：29. 设 则 =（）(A) 0(B) 1(C) -1(D) 2正确答案：B解答参考：30. 微分方程 2y+3y+y=0 的通解为()(A) y=C1e-2x+C2e-3x(B) y=e-x+C2e-x
7、/2(C) y=C1e-x+C2e-x/2(D) y=e-x+C2e2x正确答案：C解答参考：31. 函数 5e5x 的一个原函数为（ ）(A) e5x(B) 5e5x(C) e5x/5(D) -e5x正确答案：A解答参考：32. 设 y=x+(1+x2)1/2 则 y=() (A) (B) (C) (D) 正确答案：C解答参考：33. 设函数 f(x,y)=xy+y/x，则 fx（1，1）= （ ）(A) 0(B) 1(C) -1(D) 2正确答案：A解答参考：34. 设曲线 y=e1-x2 与直线 x=1 的交点为，则曲线在 P 点的切线方程是（ ）(A) 2x-y+2=0(B) 2x+y
8、+1=0(C) 2x+y-3=0(D) 2x-y+3=0正确答案：B解答参考：35. f(x) 在点 x 可导是 f(x)在 x 点连续的（ ）(A) 充分条件(B) 必要条件(C) 充分必要条件(D) 无关条件正确答案：A解答参考：36. 如果 f(x0)=0 且 f（x 0）存在，则 =（）(A) f（x 0）(B) 0(C) 不存在(D) 正确答案：A解答参考：37. 判断级数 是( )(A) 绝对收(B) 条件收敛.(C) 条件收敛且绝对收(D) 发散正确答案：B解答参考：38. 已知在抛物线 y=x2 上点 M 的切线的倾角为 /4，则点 M 的坐标为()(A) (1,1)(B) (
9、1/2,1/4)(C) (-1/2,1/4)(D) (-1,1)正确答案：B解答参考：39. =()(A) (B) 4/3(C) 0(D) 2/3正确答案：C解答参考：40. 函数的定义域是（ )(A) (B) (0,1)(C) (-1,0)(D) (-1,1)正确答案：D解答参考：41. 设 v=v(x)在 x 可导，而且 v(x)不为 0，那么函数 1/v(x)也在 x 可导，且有1/v(x)=（）(A) (B) (C) (D) 正确答案：D解答参考：42. =()(A) 1(B) (C) 不存在(D) 0正确答案：B解答参考：43. 内的和函数是（ ）(A) ln(1-x)(B) ln(
10、1+x)(C) e-x(D) ex正确答案：B解答参考：44. 设 则 x=1 为 f(x)的（ C ） (A) 连续点(B) 无穷间断点(C) 跳跃间断点(D) 可去间断点正确答案：C解答参考：45. 设函数 f(x)在a,b上连续，则 f(x)在区间a,b上的平均值 =( ) (A) (f(a)-f(b)/(a-b)(B) f(a)-f(b)(C) (D) 正确答案：C解答参考：46. 下列广义积分收敛的是（ ）(A) (B) (C) (D) 正确答案：D解答参考：47. 设 y=tgx_secx，则 dy=（ ）(A) sec2x+secxtgx(B) (sec2x+secxtgs)dx
11、(C) (sec2xx+tg2x)dx(D) sec2x+t正确答案：B解答参考：48. 用待定系数法求方程 y+2y=5 的特解时，应设（ ） (A) (B) (C) (D) 正确答案：C解答参考：49. 函数 的定义域为（ )(A) (B) (C) (D) 正确答案：D解答参考：50. 设区域为: ,则 （）(A) (B) (C) (D) 正确答案：A解答参考：51. 曲线 y=(x-1)3-1 的拐点是（ ） (A) （2，0）(B) （1，-1 ）(C) （0，-2 ）(D) 不存在的正确答案：B解答参考：52. 曲线 y=e1/x-1 的水平渐近线方程为（ ）(A) x=1(B) y
12、=1(C) x=0(D) y=0正确答案：D解答参考：53. 设 z=(x2+y2)/2，则 （ ）(A) z=x+y/2(B) x(C) y(D) x+y正确答案：B解答参考：54. 函数 ，则 （ ） (A) 4(dx+dy)(B) 4(dx-dy)(C) 4(dx+ln2dy)(D) 4(dx-ln2dy)正确答案：C解答参考：55. 微分方程 y+2y-8y 的通解为（ ）(A) y=C1e-4x+2e2x(B) y=4e4x+C2e -2x(C) y=C1e-4x+C 2e2x(D) y=C 1e4x+C2e -2x正确答案：C解答参考：56. 设 F(x)是 f(x)的一个原函数，
13、则 =（ ）(A) F(1-2x)+C(B) F(1-2x)/2+C(C) -F(1-2x)+C(D) -F(1-2x)/2+C正确答案：D解答参考：57. 当时 x=1 或 x=-1 时 y=x3+3px+q，函数有极值，那么 p=（ ）(A) -1(B) 1(C) 0(D) 2正确答案：A解答参考：58. ()(A) 0(B) 不存在(C) 1(D) 正确答案：A解答参考：59. 设数列 an,bn 及 cn 满足：对任意的, 且 ，则 （ ）(A) 0(B) 1(C) 2(D) -2正确答案：C解答参考：60. A lawyers income is usually very high,
14、 _ more than one million yuan a year.(A) add up to(B) added up to(C) amounted to(D) amounting to正确答案：D解答参考：61. There are 4 words marked A), B), C) and D ) in each group. Choose the one which underlined part has a different pronunciation from the other three(A) coast(B) broad(C) soap(D) float正确答案：B解答
15、参考：62. Because of the terrible weather, neither I nor she _ have a walk this evening.(A) am going to(B) are going to(C) is going to(D) was going to正确答案：C解答参考：63. There are 4 words marked A), B), C) and D ) in each group. Choose the one which underlined part has a different pronunciation from the oth
16、er three.(A) exercise(B) excuse(C) explain(D) tremely正确答案：A解答参考：64. It is not polite to _ when someone is making a speech at a meeting like this.(A) turn up(B) cut in(C) speak out(D) stand by正确答案：B解答参考：65. _, its very tidy.(A) As her room is small(B) Small as her room is(C) As small her room is(D) S
17、mall as her room正确答案：B解答参考：66. Please speak loudly _ everyone in the classroom can hear you.(A) so that(B) so as to(C) in order to(D) so on正确答案：A解答参考：67. On April 1st they flew to Beijing, _ they stayed several days.(A) when(B) which(C) where(D) there正确答案：C解答参考：68. She should stop working; she has a
18、 headache because she _ too long.(A) has been reading(B) had read(C) is reading(D) read正确答案：A解答参考：69. There are 4 words marked A), B), C) and D ) in each group. Choose the one which underlined part has a different pronunciation from the other three(A) Wednesday(B) thunder(C) language(D) twentieth正确答
19、案：C解答参考：70. There are 4 words marked A), B), C) and D ) in each group. Choose the one which underlined part has a different pronunciation from the other three(A) word(B) world(C) sword(D) worm正确答案：C解答参考：71. The experiment _ the discovery of a cure for cancer.(A) happened to(B) led up(C) resulted in(
20、D) set up正确答案：C解答参考：72. There are 4 words marked A), B), C) and D ) in each group. Choose the one which underlined part has a different pronunciation from the other three(A) graduate(B) recognize(C) apology(D) finger正确答案：C解答参考：73. Nobody but John _ the secret.(A) know(B) ) knows(C) have known(D) is
21、known正确答案：B解答参考：74. There are 4 words marked A), B), C) and D ) in each group. Choose the one which underlined part has a different pronunciation from the other three(A) hall(B) fall(C) small(D) shall正确答案：D解答参考：75. She got to know the young man very well _ she had worked for so long.(A) with whom(B)
22、 in whom(C) whom(D) to whom正确答案：A解答参考：76. There are 4 words marked A), B), C) and D ) in each group. Choose the one which underlined part has a different pronunciation from the other three.(A) maps(B) bags(C) desks(D) bikes正确答案：B解答参考：77. The committee members propose that the plan _ postponed for a
23、few days.(A) being(B) to be(C) been(D) be正确答案：D解答参考：78. There are 4 words marked A), B), C) and D ) in each group. Choose the one which underlined part has a different pronunciation from the other three.(A) butter(B) mute(C) mule(D) assume正确答案：A解答参考：79. There are 4 words marked A), B), C) and D ) in
24、 each group. Choose the one which underlined part has a different pronunciation from the other three.(A) enough(B) rough(C) tough(D) though正确答案：D解答参考：80. When the old lady is alone in the house, her dog makes her feel _ and relaxed.(A) safe(B) healthy(C) lonely(D) angry正确答案：A解答参考：81. There are 4 wor
25、ds marked A), B), C) and D ) in each group. Choose the one which underlined part has a different pronunciation from the other three.(A) Christ mas(B) tight ly(C) first(D) test正确答案：A解答参考：82. Do you like the book Sidney gave you? Very much. Its exactly _ I wanted.(A) one which(B) the one(C) one that(D
26、) one what正确答案：B解答参考：83. All of her living cost _ 2,000 yuan each month.(A) gets to(B) equals to(C) arrives at(D) comes at正确答案：D解答参考：84. I dont mind _ the decision.(A) you to delay making(B) your delaying making(C) your delaying to make(D) you delay to make正确答案：B解答参考：85. Your little girl is becoming
27、 very rude. You _ scold her.(A) may(B) can(C) ought to(D) need正确答案：C解答参考：86. Its reported that the police are _ the area for the criminal.(A) processing(B) searching(C) operating(D) handling正确答案：B解答参考：87. There are 4 words marked A), B), C) and D ) in each group. Choose the one which underlined part
28、 has a different pronunciation from the other three(A) childhood(B) chicken(C) character(D) chairman正确答案：C解答参考：88. Though he _ well prepared before the job interview, he failed to answer some important questions.(A) will be(B) would be(C) has been(D) had been正确答案：D解答参考：89. He spoke so quickly that I
29、 did not _ what he said.(A) catch(B) accept(C) take(D) listen正确答案：A解答参考：90. Most Chinese like to drink tea. But some prefer coffee _ tea.(A) to(B) with(C) for(D) against正确答案：A解答参考：91. There are 4 words marked A), B), C) and D ) in each group. Choose the one which underlined part has a different pron
30、unciation from the other three.(A) mamage(B) many(C) matter(D) madam正确答案：B解答参考：92. _ he was seriously ill, I wouldnt have told him the truth.(A) If I knew(B) If I know(C) Had I known(D) Did I know正确答案：C解答参考：93. _determines a good meal varies from country to country.(A) What(B) That(C) It(D) Which正确答
31、案：A解答参考：94. So many representatives_, the conference had to be postponed.(A) to be absent(B) were absent(C) being absent(D) was absent正确答案：C解答参考：95. There are 4 words marked A), B), C) and D ) in each group. Choose the one which underlined part has a different pronunciation from the other three(A) t
32、urn(B) saturday(C) hurt(D) occur正确答案：B解答参考：96. We anticipate _ problems in carrying out the reform.(A) run into(B) to run into(C) running into(D) ran into正确答案：C解答参考：97. There are 4 words marked A), B), C) and D ) in each group. Choose the one which underlined part has a different pronunciation from
33、the other three(A) aunt(B) author(C) austrilia(D) autumn正确答案：A解答参考：98. The city has decided to _ all the old buildings.(A) break away from(B) get rid of(C) come up with(D) knock down正确答案：D解答参考：99. There are 4 words marked A), B), C) and D ) in each group. Choose the one which underlined part has a d
34、ifferent pronunciation from the other three(A) coast(B) broad(C) soap(D) float正确答案：B解答参考：100. If you travel in a foreign country, a tour _ may save you a lot of trouble.(A) director(B) guide(C) helper(D) assistant正确答案：B解答参考：101. Id like to _ your essay with you when you have time.(A) go for(B) go ov
35、er(C) go after(D) go by正确答案：B解答参考：102. He doesnt feel like _ a picnic in the park this weekend, and he suggested watching the football match instead.(A) have(B) to have(C) having(D) had正确答案：C解答参考：103. Youd better _ the whole article at once.(A) copy(B) to copy(C) copying(D) copied正确答案：A解答参考：104. The
36、re are 4 words marked A), B), C) and D ) in each group. Choose the one which underlined part has a different pronunciation from the other three.(A) deal(B) deaf(C) weak(D) beat正确答案：B解答参考：105. Dont worry! Just do it _ I do it.(A) like(B) since(C) for(D) as正确答案：D解答参考：106. There are 4 words marked A),
37、B), C) and D ) in each group. Choose the one which underlined part has a different pronunciation from the other three(A) lecture(B) recognize(C) level(D) recent正确答案：D解答参考：107. There are 4 words marked A), B), C) and D ) in each group. Choose the one which underlined part has a different pronunciatio
38、n from the other three.(A) worth(B) worn(C) worst(D) word正确答案：B解答参考：108. The manager told us never to _ till tomorrow what we can do today.(A) come up(B) turn on(C) put off(D) give out正确答案：C解答参考：109. There are 4 words marked A), B), C) and D ) in each group. Choose the one which underlined part has
39、a different pronunciation from the other three(A) rather(B) worth(C) thus(D) whether正确答案：B解答参考：110. If you _ smoking and drinking, your health will improve soon.(A) gave up(B) had given up(C) give up(D) will give up正确答案：C解答参考：111. There are 4 words marked A), B), C) and D ) in each group. Choose the
40、 one which underlined part has a different pronunciation from the other three.(A) asleep(B) awake(C) hasten(D) Christmas正确答案：C解答参考：112. He said, “I _ a lot of new words by the end of last year.”(A) had already learnt(B) have already learnt(C) would have already learnt(D) already learnt正确答案：C解答参考：113
41、. There are 4 words marked A), B), C) and D ) in each group. Choose the one which underlined part has a different pronunciation from the other three(A) gone(B) done(C) another(D) glove正确答案：A解答参考：114. The machine will continue to make much noise _ we have it repaired.(A) when(B) if(C) because(D) unless正确答案：D解答参考：115. There are 4 words marked A), B), C) and D ) in each group. Choose the one which underlined part has a different pronunciation from the other three(A) print(B) high(C) right(D) mind正确答案：A解答参考：
