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)单调减少的区间是()(A)(B)(C)(D)正确答
2、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.
3、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+
4、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)|-1=x=1,-1=y0,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)30,45,60,(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:
5、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(
6、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/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
7、: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+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(x0)存在,则=()(A)f(x0)(B)0(C)不存在(D)正确答案:A解答参考:37. 判断级数是
8、()(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)(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:4
9、2. =()(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(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=()(
10、A)sec2x+secxtgx(B)(sec2x+secxtgs)dx(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)
11、y=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,则=()(A)F(1-2x)+C(B)F(1-2
12、x)/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, _ more than one million yuan a year.(A)add up to(B)adde
13、d 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解答参考:62. Because of the terrible weather, neither I nor she _ have
14、 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 other three.(A)exercise(B)excuse(C)explain(D)tremely正确答案:A解答参考:64. It i
15、s 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)Small as her room正确答案:B解答参考:66. Please speak loudly _ everyone in the classroom c
16、an 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 headache because she _ too long.(A)has been reading(B)had read(C)is reading(D)read正确答案:
17、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正确答案:C解答参考:70. There are 4 words marked A), B), C) and D ) in each group. Choose the one which unde
18、rlined 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(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
19、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 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 pa
20、rt 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)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
21、 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 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
22、 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 each group. Choose the one which underlined part has a different pronunciation from the other three.(A)enough(B)rough(C)tough(D)thou
23、gh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 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)Christ
24、 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)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 _ th
25、e 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 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)searchi
26、ng(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 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
27、 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 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:9
28、1. 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)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
29、 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 e
30、ach group. Choose the one which underlined part has a different pronunciation from the other three(A)turn(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)
31、and D ) in each group. Choose the one which underlined part has a different pronunciation from 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 word
32、s 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
33、参考:101. Id like to _ your essay with you when you have time.(A)go for(B)go over(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 arti
34、cle at once.(A)copy(B)to copy(C)copying(D)copied正确答案:A解答参考:104. 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)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)si
35、nce(C)for(D)as正确答案:D解答参考:106. 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)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
36、 one which underlined part has a different pronunciation 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 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
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