第一节 单项填空
21 --What about going out this evening?
--Oh, I don’t know. I’ve got a bit of a headache. And _______,John’s coming to see me, so I ought to stay in.
A anyhow B therefore C however D though
22 When you make a speech, you should try to get your idea_______.
A across B off C away D aside
23 The new film received ________from everyone.
A highly praise B high praise C high praises D highly praises
24 It was four o’clock in the afternoon_______ he and his grandpa reached the museum in Guanghan,________ an official warmly received them.
A that, where B when, where C where, when D that, which25
25 His efforts_______ when he was admitted to Qinghua University last summer.
A paid back B paid for C paid out D paid off
26 The taxi was so slow, we might just as well _______on the bus.
A go B to go C have gone D having gone
27 Was it the building _______many reporters were interviewing the US official________ was attacked last week.
A that, who B when, who C where, that D which, that
28 It is suggested that medicine should not be kept where it is _______ to children.
A acceptable B flexible C separable D accessible
29 --Which is the computer you want_______?
--The one on the right.
A to have repaired B to have it repaired C it repaired D to repair it
30 A series of books _______translated into English.
A have been B has been C have D has
31 _______is no need _______ this to others. It is only between us.
A It, to tell B It, telling C There, to tell D There, telling
32 My teacher often said in class, “One should love _______country.”
A one’s B their C its D her
33 The medical reform in that country turns out to be ______failure, but as we know, success often comes after ______ failure.
A a, the B a, a C /, / D a, /
34--Jack, let’s play cards for money, shall we?
--___________. You are always cheating.
A That’s great B No way C Let alone D All above
35 --Thank you for your timely help.
--_____________.
A It’s my pleasure B With pleasure
C It’s nice of you to say so D I don’t think so
22.(本小题满分14分)
已知函数
在
处取得极值.
(1)求函数
的解析式;
(2)求证:对于区间
上任意两个自变量的值
,都有
;
(3)若过点
可作曲线
的三条切线,求实数
的取值范围.
21.(本小题满分12分)
如图,四棱锥
中,底面
是平行四边形,
平面
,垂足为G,G在AD上,且![]()
是
的中点,四面体
的体积为
.
(1)求异面直线GE与PC所成的角;
(2)求点D到平面PBG的距离;
(3)若F点是PC上一点,且
求
的值.
20.(本小题满分12分)
一种信号灯,只有符号“√”和“×”随机地反复出现,每秒钟变化一次,每次变化只出现“√”和“×”两者之一,其中出现“√”的概率为
,出现“×”的概率为
,若第
次出现“√”,记为
,若第
次出现“×”,则记为
,令
,
(1)求
的概率;
(2)求
,且
的概率.
19.(本小题满分12分)
已知
的展开式的系数和比
的展开式的系数和大992,求
的展开式中:(1)二项式系数最大的项;(2)系数的绝对值最大的项![]()
18.(本小题满分12分)
旅游公司为3个旅游团提供4条旅游线路,每个旅游团任选其中一条.
(1)求3个旅游团选择3条不同的线路的概率
(2)求恰有2条线路没有被选择的概率.
(3)求选择甲线路旅游团数至多1个的概率.
17.(本小题满分12分)
设集合A={0,2,4,6},B={1,3,5,7},从集合A、B中各取2个元素组成没有重复数字的四位数.
(1)可组成多少个这样的四位数?
(2)有多少个是2的倍数或者是5的倍数?
16.由等式![]()
![]()
定义映射
。
15.“渐升数”是指每个数字比其左边的数字大的正整数(如34689).若五位“渐升数”按从小到大的顺序排列,则第100个数为 .
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