第一節(jié) 單項(xiàng)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.(本小題滿(mǎn)分14分)
已知函數(shù)
在
處取得極值.
(1)求函數(shù)
的解析式;
(2)求證:對(duì)于區(qū)間
上任意兩個(gè)自變量的值
,都有
;
(3)若過(guò)點(diǎn)
可作曲線
的三條切線,求實(shí)數(shù)
的取值范圍.
21.(本小題滿(mǎn)分12分)
如圖,四棱錐
中,底面
是平行四邊形,
平面
,垂足為G,G在AD上,且![]()
是
的中點(diǎn),四面體
的體積為
.
(1)求異面直線GE與PC所成的角;
(2)求點(diǎn)D到平面PBG的距離;
(3)若F點(diǎn)是PC上一點(diǎn),且
求
的值.
20.(本小題滿(mǎn)分12分)
一種信號(hào)燈,只有符號(hào)“√”和“×”隨機(jī)地反復(fù)出現(xiàn),每秒鐘變化一次,每次變化只出現(xiàn)“√”和“×”兩者之一,其中出現(xiàn)“√”的概率為
,出現(xiàn)“×”的概率為
,若第
次出現(xiàn)“√”,記為
,若第
次出現(xiàn)“×”,則記為
,令
,
(1)求
的概率;
(2)求
,且
的概率.
19.(本小題滿(mǎn)分12分)
已知
的展開(kāi)式的系數(shù)和比
的展開(kāi)式的系數(shù)和大992,求
的展開(kāi)式中:(1)二項(xiàng)式系數(shù)最大的項(xiàng);(2)系數(shù)的絕對(duì)值最大的項(xiàng)![]()
18.(本小題滿(mǎn)分12分)
旅游公司為3個(gè)旅游團(tuán)提供4條旅游線路,每個(gè)旅游團(tuán)任選其中一條.
(1)求3個(gè)旅游團(tuán)選擇3條不同的線路的概率
(2)求恰有2條線路沒(méi)有被選擇的概率.
(3)求選擇甲線路旅游團(tuán)數(shù)至多1個(gè)的概率.
17.(本小題滿(mǎn)分12分)
設(shè)集合A={0,2,4,6},B={1,3,5,7},從集合A、B中各取2個(gè)元素組成沒(méi)有重復(fù)數(shù)字的四位數(shù).
(1)可組成多少個(gè)這樣的四位數(shù)?
(2)有多少個(gè)是2的倍數(shù)或者是5的倍數(shù)?
16.由等式![]()
![]()
定義映射
。
15.“漸升數(shù)”是指每個(gè)數(shù)字比其左邊的數(shù)字大的正整數(shù)(如34689).若五位“漸升數(shù)”按從小到大的順序排列,則第100個(gè)數(shù)為 .
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