題目列表(包括答案和解析)
.— Do you like a house with no garden?
—________ , But anyhow, it's better to have one than none.
A. Not really B. Not especially
C. Not a bit D. Not a little
.______was known to them all that William had broken his promise______ he would give each of them a gift.
A. As, which B. What, that C. It , that D. It , which
.—Do you feel like ________ there or shall we take a bus?
—I’d like to walk. But since there isn't much time left, I'd rather we________ a taxi.
A. walking; hire B. to walk; hire C. to walk; hired D. walking; hired
.—Without your help, we _____ this task on time.
—My pleasure.
A. don’t finish B. will not finish C. didn’t finish D. would not have finished
C
"Reduce, reuse and recycle, this familiar environmentalist slogan tells us how to reduce the amount of rubbish that ends up in landfills and waterways.
The concept is being used to deal with one possibly dangerous form of waste –--- electronic junk (電子垃圾), such as old computers, cell-phones, and televisions. But this process for managing e-waste may be used in an unscrupulous(不擇手段的) way more often than not used, a recent report suggests.
“A lot of these materials are being sent to developing nations under the excuse of reuse –--- to bridge the digital divide,” said Richard Gutierrez, a policy researcher.
One of the problems is that no one proves whether these old machines work before they hit the seaways. Because of this, the report says, e-waste is a growing problem in Lagos, Nigeria, and elsewhere in the developing world. Much of the waste ends up being thrown away along rivers and roads. Often it’s picked apart by poor people, who may face dangerous exposure to poisonous chemicals in the equipment.
Businessmen also pay workers a little money to get back materials such as gold and copper. This low-tech recovery process could expose workers and the local environment to many dangerous materials used to build electronics. According to Gutierrez, this shadow economy exists because the excuse of recycling and reusing electronics gives businessmen “a green passport” to ship waste around the globe. “Developing nations must take upon some of the responsibility themselves,” Gutierrez said. But, he added, “A greater portion of this responsibility should fall on the exporting state.”
China, for example, has become a dumping(傾倒,堆放) place for large amounts of e-waste. The nation is beginning to take action to stop the flow of dangerous materials across its borders. The Chinese government, after many years of denial(否認(rèn)), is finally beginning to take the lead.
70.What does the fourth paragraph mainly discuss?
A. Old computers and TVs still work before they are sent abroad.
B. Poor people break up e-waste to collect some valuable materials.
C. A lot of e-waste is dumped in developing countries.
D. The problem of e-waste is growing in developing countries.
71.From what Gutierrez said we can learn that ________.
A. exporting countries should mainly be responsible for this problem.
B. neither rich nor poor countries should be blamed for this problem
C. developing countries should be responsible for this problem
D. poor countries should be blamed for this problem
72.It can be inferred from the last paragraph that _______.
A. China has hidden a large amount of e-waste in many secret places
B. China has greatly changed the idea about the problem of e-waste
C. China has prevented poisonous materials from entering China for a long time
D. China is falling behind other countries in dealing with e-waste
73.The passage mainly tells us that _______.
A. developing countries are facing serious environmental problems
B. e-waste is a growing problem in developed countries
C. e-waste is sent to developing countries under the excuse of reuse
D. developing countries are making full use of e-waste
1.解析:,故選A。
2.解析:∵
,
故選B。
3.解析:由,得,此時,所以,,故選C。
4.解析:顯然,若與共線,則與共線;若與共線,則,即,得,∴與共線,∴與共線是與共線的充要條件,故選C。
5.解析:設(shè)公差為,由題意得,;,解得或,故選C。
6.解析:∵雙曲線的右焦點到一條漸近線的距離等于焦距的,∴,又∵,∴,∴,∴雙曲線的離心率是。故選B.
7.解析:∵、為正實數(shù),∴,∴;由均值不等式得恒成立,,故②不恒成立,又因為函數(shù)在是增函數(shù),∴,故恒成立的不等式是①③④。故選C.
8.解析:∵,∴在區(qū)間上恒成立,即在區(qū)間上恒成立,∴,故選D。
9.解析:∵
,此函數(shù)的最小值為,故選C。
10.解析:如圖,∵正三角形的邊長為,∴,∴,又∵,∴,故選D。
11.解析:∵在區(qū)間上是增函數(shù)且,∴其反函數(shù)在區(qū)間上是增函數(shù),∴,故選A
12.解析:如圖,①當(dāng)或時,圓面被分成2塊,涂色方法有20種;②當(dāng)或時,圓面被分成3塊,涂色方法有60種;
③當(dāng)時,圓面被分成4塊,涂色方法有120種,所以m的取值范圍是,故選A。
13.解析:做出表示的平面區(qū)域如圖,當(dāng)直線經(jīng)過點時,取得最大值5。
14.解析:∵,∴時,,又時,滿足上式,因此,,
∴。
15.解析:設(shè)正四面體的棱長為,連,取的中點,連,∵為的中點,∴∥,∴或其補(bǔ)角為與所成角,∵,,∴,∴,又∵,∴,∴與所成角的余弦值為。
16.解析:∵,∴,∵點為的準(zhǔn)線與軸的交點,由向量的加法法則及拋物線的對稱性可知,點為拋物線上關(guān)于軸對稱的兩點且做出圖形如右圖,其中為點到準(zhǔn)線的距離,四邊形為菱形,∴,∴,∴,∴,∴,∴向量與的夾角為。
17.(10分)解析:(Ⅰ)由正弦定理得,,,…2分
∴,,………4分
(Ⅱ)∵,,∴,∴,………………………6分
又∵,∴,∴,………………………8分
∴!10分
18.解析:(Ⅰ)∵,∴;……………………理3文4分
(Ⅱ)∵三科會考不合格的概率均為,∴學(xué)生甲不能拿到高中畢業(yè)證的概率;……………………理6文8分
(Ⅲ)∵每科得A,B的概率分別為,∴學(xué)生甲被評為三好學(xué)生的概率為。……………………12分
(理)∵,,,!9分
∴的分布列如下表:
0
1
2
3
∴的數(shù)學(xué)期望!12分
19.(12分)解析:(Ⅰ)時,
,,
由得, 或 ………3分
+
0
-
0
+
遞增
極大值
遞減
極小值
遞增
, ………………………6分
(Ⅱ)在定義域上是增函數(shù),
對恒成立,即
………………………9分
又(當(dāng)且僅當(dāng)時,)
………………………4分
20.解析:(Ⅰ)∵∥,,∴,∵底面,∴,∴平面,∴,又∵平面,∴,∴平面,∴!4分
(Ⅱ)∵平面,∴,,∴為二面角的平面角,………………………6分
,,∴,又∵平面,,∴,∴二面角的正切值的大小為!8分
(Ⅲ)過點做∥,交于點,∵平面,∴為在平面內(nèi)的射影,∴為與平面所成的角,………………………10分
∵,∴,又∵∥,∴和與平面所成的角相等,∴與平面所成角的正切值為!12分
解法2:如圖建立空間直角坐標(biāo)系,(Ⅰ)∵,,∴點的坐標(biāo)分別是,,,∴,,設(shè),∵平面,∴,∴,取,∴,∴。………………………4分
(Ⅱ)設(shè)二面角的大小為,∵平面的法向量是,平面的法向量是,∴,∴,∴二面角的正切值的大小為!8分
(Ⅲ)設(shè)與平面所成角的大小為,∵平面的法向量是,,∴,∴,∴與平面所成角的正切值為!12分
21.(Ⅰ) 解析:如圖,設(shè)右準(zhǔn)線與軸的交點為,過點
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