23.________ is known to us all is that China has launched Shenzhou V Spaceship successfully.
A. That B. What C. It D. As
22. By the time you get to Greenwich, you ________ the most historic part of London.
A. will be seeing B. will see C. are going to see D. will have seen
第一節(jié) 單項(xiàng)填空 (共15小題;每小題1分,滿分15分)
21. The salesman scolded the girl caught ________ and let her off.
A. to have stolen B. to be stealing C. to steal D. stealing
第二節(jié) 聽取信息 (共5小題;每小題1分,滿分5分)
聽下面一段獨(dú)白,從所聽到的內(nèi)容中獲取必要的信息,填入標(biāo)號(hào)為16-20的空格中。聽錄音前,你將有10秒鐘的閱題時(shí)間。錄音讀兩遍。
How much did Miss Green weigh? |
(16) ______. |
When Miss Green went to see the doctor, what did the
doctor give her? |
(17) ______. |
When should Miss Green come again? |
(18) ______ later |
What was Miss Green eating when the doctor went to visit
her |
(19) ______. |
Why wasn’t Miss Green getting thinner? |
She ate her diet only at (20) ______ . |
15 (本題滿分12分)
(1) 求證:
(2) 已知,數(shù)列滿足,寫出數(shù)列的前4項(xiàng),并歸納出的表達(dá)式.
16(本題滿分12分)
為了對(duì)2008年佛山市高考成績(jī)進(jìn)行分析,(折換成100分制)在全體同學(xué)中隨機(jī)抽出8位, 若這8位同學(xué)的數(shù)學(xué)、物理分?jǐn)?shù)對(duì)應(yīng)如下表:
學(xué)生編號(hào) |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
數(shù)學(xué)分?jǐn)?shù)x |
60 |
65 |
70 |
75 |
80 |
85 |
90 |
95 |
物理分?jǐn)?shù)y |
72 |
77 |
80 |
84 |
88 |
90 |
93 |
95 |
(1) 用變量y與x的相關(guān)系數(shù)說明物理與數(shù)學(xué)的相關(guān)程度;
(2) 求y與x的線性回歸方程(系數(shù)精確到0.01)
參考數(shù)據(jù):,,,,,,,.
相關(guān)系數(shù);
回歸直線的方程是:,其中
17(本題滿分14分)
已知在中,,求.
18(本題滿分14分)
若函數(shù)在區(qū)間上的最大值為6,
(1)求常數(shù)m的值;
(2)當(dāng)時(shí)的最小值,并求出此時(shí)相應(yīng)的x的取值范圍 ;
(3)關(guān)于y軸對(duì)稱后得,再把右移個(gè)單位,縱坐標(biāo)不變得,求的單調(diào)遞減區(qū)間。
19(本題滿分14分)
已知函數(shù)f(x)=x3+ax2+bx+c在x=-與x=1時(shí)都取得極值
(1) 求a、b的值與函數(shù)f(x)的單調(diào)區(qū)間;
(2) 若對(duì)xÎ(-1,2),不等式f(x)<c2恒成立,求c的取值范圍。
20(本題滿分14分)
統(tǒng)計(jì)表明,某種型號(hào)的汽車在勻速行駛中每小時(shí)耗油量y(升)關(guān)于行駛速度x(千米/小時(shí))的函數(shù)解析式可以表示為:y=(0<x≤120).已知甲、乙兩地相距100千米。
(Ⅰ)當(dāng)汽車以40千米/小時(shí)的速度勻速行駛時(shí),從甲地到乙地要耗油多少升?
(Ⅱ)當(dāng)汽車以多大的速度勻速行駛時(shí),從甲地到乙地耗油最少?最少為多少升?
14.已知圓的方程為,則經(jīng)過圓上一點(diǎn)的切線方程為,類比上述性質(zhì),可以得到橢圓的類似性質(zhì)為
13. 計(jì)算:= ;= ;
12.某高!督y(tǒng)計(jì)初步》課程的教師隨機(jī)調(diào)查了學(xué)生的一些情況,數(shù)據(jù)如下表:
|
非統(tǒng)計(jì)專業(yè) |
統(tǒng)計(jì)專業(yè) |
男 |
13 |
10 |
女 |
7 |
20 |
為了判斷主修統(tǒng)計(jì)專業(yè)是否與性別有關(guān),根據(jù)表中數(shù)據(jù),得 因?yàn)?sub>,所以判斷主修統(tǒng)計(jì)專業(yè)與性別有關(guān),這種判斷出錯(cuò)的可能為
11.計(jì)算 ;的導(dǎo)數(shù)為
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