1.选择题- (共17题)
1.已知数列{an}和{bn}满足a1=2,b1=1,an+1=2an(n∈N*),b1+ {#mathml#}{#/mathml#} b2+ {#mathml#}{#/mathml#} b3+…+ {#mathml#}{#/mathml#} bn=bn+1﹣1(n∈N*)
(Ⅰ)求an与bn;
(Ⅱ)记数列{anbn}的前n项和为Tn,求Tn.
2.已知数列{an}和{bn}满足a1=2,b1=1,an+1=2an(n∈N*),b1+ {#mathml#}{#/mathml#} b2+ {#mathml#}{#/mathml#} b3+…+ {#mathml#}{#/mathml#} bn=bn+1﹣1(n∈N*)
(Ⅰ)求an与bn;
(Ⅱ)记数列{anbn}的前n项和为Tn,求Tn.
3.已知数列{an}和{bn}满足a1=2,b1=1,an+1=2an(n∈N*),b1+ {#mathml#}{#/mathml#} b2+ {#mathml#}{#/mathml#} b3+…+ {#mathml#}{#/mathml#} bn=bn+1﹣1(n∈N*)
(Ⅰ)求an与bn;
(Ⅱ)记数列{anbn}的前n项和为Tn,求Tn.
9.如图,已知正方体ABCD﹣A1B1C1D1的棱长为2,点E为线段A1B1的中点,点F,G分别是线段A1D与BC1上的动点,当三棱锥E﹣FGC的俯视图的面积最大时,该三棱锥的正视图的面积是{#blank#}1{#/blank#}.
13.已知直线l: {#mathml#}{#/mathml#} (其中t为参数,α为倾斜角).以坐标原点O为极点,x轴的正半轴为极轴,建立极坐标系,曲线C的极坐标方程为ρ= {#mathml#}{#/mathml#} .
14.已知直线l: {#mathml#}{#/mathml#} (其中t为参数,α为倾斜角).以坐标原点O为极点,x轴的正半轴为极轴,建立极坐标系,曲线C的极坐标方程为ρ= {#mathml#}{#/mathml#} .
16.如图(1),五边形ABCDE中,ED=EA,AB∥CD,CD=2AB,∠EDC=150°.如图(2),将△EAD沿AD折到△PAD的位置,得到四棱锥P﹣ABCD.点M为线段PC的中点,且BM⊥平面PCD.
2.单项选择- (共14题)
18.
— You shall get an iPad so long as you come first in the speech contest.
— Is that a ________? Don’t let me down, I hope.
— Is that a ________? Don’t let me down, I hope.
A.trick | B.decision | C.promise | D.goal |
19.
— Can you finish the book in ________ month or two?
— Yes, it’s out of ________ question.
— Yes, it’s out of ________ question.
A.a; the | B.the; 不填 | C.the; a | D.a; 不填 |
20.
He comes here on Mondays, Wednesdays and Fridays — ________, to be exact.
A.every second days | B.every other days |
C.every other day | D.every two day |
21.
After a second thought, Bill ________ a better idea of how to solve the problem.
A.put up with | B.came up with |
C.kept up with | D.mixed up with |
22.
John wants to see me now, but I have so much work on hand that I would rather he ________ tomorrow than today.
A.should come | B.will come | C.is coming | D.came |
23.
________ an effective team member, you need to develop a teamwork attitude.
A.Become | B.Becoming | C.Having become | D.To become |
24.
With a population of over seven million, London is ________ the largest cities of the world.
A.between | B.among | C.from | D.of |
25.
Never believe anything ________ any other person has believed it. Use your own head.
A.that | B.when | C.because | D.once |
26.
— I rang you up last night, but nobody answered.
— Oh, I usually ________ off my phone at about 9:00 p.m.
— Oh, I usually ________ off my phone at about 9:00 p.m.
A.switched | B.have switched |
C.switch | D.had switched |
27.
The number of new energy vehicles in China’s cities ________ to reach 39,000 by the end of this month, according to Wan Gang, Chinese Minister of Science and Technology.
A.are expected | B.is expecting |
C.are expecting | D.is expected |
28.
There are two rooms in the apartment, ________ serves as a kitchen.
A.the smaller of them | B.the smallest of which |
C.the smaller of which | D.smallest of which |
29.
— So you missed the English lecture this morning?
— ________. I arrived 30 minutes after it started.
— ________. I arrived 30 minutes after it started.
A.Not exactly | B.Not really | C.Not possible | D.Not likely |
30.
— Good evening. Bell Tower Hotel.
— Good evening. ________?
— Good evening. ________?
A.What would you like, please |
B.Do you still have a room for tonight |
C.Is there anything I can do for you |
D.Who is that speaking, please |
试卷分析
-
【1】题量占比
选择题:(17道)
单项选择:(14道)
-
【2】:难度分析
1星难题:0
2星难题:0
3星难题:0
4星难题:0
5星难题:0
6星难题:12
7星难题:0
8星难题:2
9星难题:0