1.选择题- (共15题)
1.工人在悬挂如图所示的一个正六边形装饰品时,需要固定六个位置上的螺丝,首先随意拧紧一个螺丝,接着拧紧距离它最远的第二个螺丝,再随意拧紧第三个螺丝,接着拧紧距离第三个螺丝最远的第四个螺丝,第五个和第六个以此类推,则不同的固定方式有{#blank#}1{#/blank#}种.
2.工人在悬挂如图所示的一个正六边形装饰品时,需要固定六个位置上的螺丝,首先随意拧紧一个螺丝,接着拧紧距离它最远的第二个螺丝,再随意拧紧第三个螺丝,接着拧紧距离第三个螺丝最远的第四个螺丝,第五个和第六个以此类推,则不同的固定方式有{#blank#}1{#/blank#}种.
3.已知两个单位向量 {#mathml#}{#/mathml#} 的夹角为45°,且满足 {#mathml#}{#/mathml#} ⊥(λ {#mathml#}{#/mathml#} ﹣ {#mathml#}{#/mathml#} ),则实数λ的值为( )
4.已知函数f(x)= {#mathml#}{#/mathml#} sinωx cosωx﹣sin2ωx+1(ω>0)相邻两条对称轴之间的距离为 {#mathml#}{#/mathml#} .
(Ⅰ)求ω的值及函数f(x)的单调递减区间;
(Ⅱ)已知a,b,c分别为△ABC中角A,B,C的对边,且满足a= {#mathml#}{#/mathml#} ,f(A)=1,求△ABC 面积 S 的最大值.
5.有一个游戏,将标有数字1、2、3、4的四张卡片分别随机发给甲、乙、丙、丁4个人,每人一张,并请这4人在看自己的卡片之前进行预测:甲说:乙或丙拿到标有3的卡片;乙说:甲或丙拿到标有2的卡片;丙说:标有1的卡片在甲手中;丁说:甲拿到标有3的卡片.结果显示:这4人的预测都不正确,那么甲、乙、丙、丁4个人拿到的卡片上的数字依次为{#blank#}1{#/blank#}、{#blank#}2{#/blank#}、{#blank#}3{#/blank#}、{#blank#}4{#/blank#}.
6.有一个游戏,将标有数字1、2、3、4的四张卡片分别随机发给甲、乙、丙、丁4个人,每人一张,并请这4人在看自己的卡片之前进行预测:甲说:乙或丙拿到标有3的卡片;乙说:甲或丙拿到标有2的卡片;丙说:标有1的卡片在甲手中;丁说:甲拿到标有3的卡片.结果显示:这4人的预测都不正确,那么甲、乙、丙、丁4个人拿到的卡片上的数字依次为{#blank#}1{#/blank#}、{#blank#}2{#/blank#}、{#blank#}3{#/blank#}、{#blank#}4{#/blank#}.
7.有一个游戏,将标有数字1、2、3、4的四张卡片分别随机发给甲、乙、丙、丁4个人,每人一张,并请这4人在看自己的卡片之前进行预测:甲说:乙或丙拿到标有3的卡片;乙说:甲或丙拿到标有2的卡片;丙说:标有1的卡片在甲手中;丁说:甲拿到标有3的卡片.结果显示:这4人的预测都不正确,那么甲、乙、丙、丁4个人拿到的卡片上的数字依次为{#blank#}1{#/blank#}、{#blank#}2{#/blank#}、{#blank#}3{#/blank#}、{#blank#}4{#/blank#}.
8.已知数列{an}中,a3=5,a5+a6=20,且2 {#mathml#}{#/mathml#} ,2 {#mathml#}{#/mathml#} ,2 {#mathml#}{#/mathml#} 成等比数列,数列{bn}满足bn=an﹣(﹣1)nn.
(Ⅰ)求数列{bn}的通项公式;
(Ⅱ)设sn是数列{bn}前n项和,求sn.
9.数列{an}是公差为正数的等差数列,a2和 a5是方程x2﹣12x+27=0 的两实数根,数列{bn}满足3n﹣1bn=nan+1﹣(n﹣1)an.
(Ⅰ)求an与bn;
(Ⅱ)设Tn为数列{bn}的前n项和,求Tn,并求Tn<7 时n的最大值.
15.某研究小组在电脑上进行人工降雨模拟试验,准备用A、B、C三种人工降雨方式分别对甲、乙、丙三地实施人工降雨,其试验数据统计如表
方式 | 实施地点 | 大雨 | 中雨 | 小雨 | 模拟实验总次数 |
A | 甲 | 4次 | 6次 | 2次 | 12次 |
B | 乙 | 3次 | 6次 | 3次 | 12次 |
C | 丙 | 2次 | 2次 | 8次 | 12次 |
假定对甲、乙、丙三地实施的人工降雨彼此互不影响,请你根据人工降雨模拟试验的统计数据
(I)求甲、乙、丙三地都恰为中雨的概率;
(Ⅱ)考虑到旱情和水土流失,如果甲地恰需中雨即达到理想状态,乙地必须是大雨才达到理想状态,丙地只能是小雨或中雨即达到理想状态,记“甲、乙、丙三地中达到理想状态的个数”为随机变量ξ,求随机变量ξ的分布列和数学期望Eξ.
2.单项选择- (共19题)
16.
__________ in the area reported ___________three people robbing the bank with their heads wrapped in socks.
A.Witness; to look at | B.Witnesses; seeing |
C.Witnesses; looking out | D.Witness; to see |
17.
We don’t understand what the professor means, but we’ve got ____ rough idea of ____ project plan.
A.the; a | B.the; / | C.a; the | D.a; / |
18.
To my amazement, that man ______ the flood and afterwards he became rich. But he ______ his wife and children and lived abroad.
A.survived; deserted | B.survived from; deserts |
C.was survived; would desert | D.has survived; deserted by |
19.
-- Why was Mr. Wang so happy this morning?
-- Because he was ______ a large sum of money for his creative achievements in teaching.
-- Because he was ______ a large sum of money for his creative achievements in teaching.
A.rewarded | B.awarded | C.made | D.given |
20.
Some aspects(方面) of a teacher’s job ______ be tiring, and teachers often ______ work at inconvenient hours.
A.can; must | B.may; can | C.can; have to | D.have to; must |
21.
Not seeing Justin, his sister , Kelly, ______ nine, heard him ______his favorite CD in his room.
A.aged; put on | B.age; put down | C.aging; put on | D.to age; put out |
22.
The sports meeting, due to ______ this weekend, has been put off due to the rain these days.
A.being held | B.holding | C.hold | D.be held |
23.
The journalist once told us that the old wooden house ______ the Smiths’ ______centuries ago.
A.belonging to; came into existence |
B.belonged to; brought into existence |
C.was belonged to; has come into existence |
D.was belonging to; called in existence |
24.
______that blood diseases are going to continue, we’ll have to______ them.
A.Assumed; doing research at | B.Assuming; do research on |
C.Assuming; do research for | D.Being assumed; do research on |
25.
The new government decided to encourage industries ______ technology, which was ______ biology.
A.basing on; linked to | B.being based on; linking with |
C.based on; linked with | D.to base on; linked |
26.
The ______ scene where the accident happened made him ______ to death.
A.scary; scared | B.scared; to scare |
C.scared; scary | D.scary; scary |
27.
Researches are convinced ______ the positive effect of laughter ______ physical and mental health.
A.of; at | B.by; in | C.of; on | D.at; on |
28.
_____ sometimes people ____ such amazing stories, there’s really no _____evidence that Aliens took Justin.
A.When; make out; harder | B.While; make of; hardly |
C.While; make up; hard | D.As; make up; hard |
29.
I’m sure that the teacher’s told you about the your result of the examination. ______ ?
A.am not I | B.hasn’t he |
C.aren’t you | D.isn’t he |
30.
It’s reported that a UFO stopped over a mountain village for a while and then disappeared in the direction ______ it had come.
A.in which | B.from which |
C.of which | D.by which |
31.
Li Na returned to Wuhan after the Games, ______, as is known to us, she had been brought up and trained to be a gold medalist of tennis.
A.when | B.that | C.which | D.where |
32.
When ______ if he had any idea of what the novel was about, Jack just kept silent.
A.asking | B.asked |
C.to ask | D.being asked |
33.
My friend, Tom, may have missed taking the flight to Africa, ______ he can’t arrive for another hour.
A.in which case | B.in that case | C.in case | D.in any case |
试卷分析
-
【1】题量占比
选择题:(15道)
单项选择:(19道)
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【2】:难度分析
1星难题:0
2星难题:0
3星难题:0
4星难题:1
5星难题:0
6星难题:9
7星难题:0
8星难题:9
9星难题:0