題目列表(包括答案和解析)
第Ⅱ卷(非選擇題共35分)
注意事項(xiàng):
用0.5毫米黑色簽字筆在答題卡上作答。在試卷上作答,答案無效。
第四部分:寫作(共兩節(jié),滿分35分)
第一節(jié):短文填詞(共10小題;每小題1分,滿分l0分)
閱讀下面短文,根據(jù)以下提示:1)漢語提示,2)首字母提示,3)語境提示,在每個(gè)空格內(nèi)填人一個(gè)適當(dāng)?shù)挠⒄Z單詞,并將該詞完整地寫在右邊相對(duì)應(yīng)的橫線上。所填單詞要求意義準(zhǔn)確,拼寫正確。
I have a good friend w____ name is Liu Mei. She is our 76________________
_____ (班長)and one of the excellent students in our class. 77________________
Clever _____ she is, she works very hard. We have a 78________________
lot in c_______ and have a lot to talk about. One evening she 79______________
told me that something h______ when her parents were out. 80________________
She was doing her homework one Sunday morning _____ 81_______________
she smelt something ____(燃燒).She stopped to look out 82________________
of the window _____ found a cloud of smoke coming out 83_______________
of her neighbour’s house. She called 119 ______ (立刻). Ten 84________________
minutes later, firemen came and put o_____ the fire. Her neighbor 85______________
was very thankful for her help.
第Ⅱ卷(非選擇題 共35分)
注意事項(xiàng):
用0.5毫米黑色簽字筆在答題卡上作答。在試卷上作答,答案無效。
第四部分:寫作(共兩節(jié),滿分35分)
第一節(jié):短文填詞(共10小題;每小題1分,滿分l0分)
閱讀下面短文,根據(jù)以下提示:1)漢語提示,2)首字母提示,3)語境提示,在每個(gè)空格內(nèi)填人一個(gè)適當(dāng)?shù)挠⒄Z單詞,并將該詞完整地寫在右邊相對(duì)應(yīng)的橫線上。所填單詞要求意義準(zhǔn)確,拼寫正確。
I have a good friend w____ name is Liu Mei. She is our 76________________
_____ (班長)and one of the excellent students in our class. 77________________
Clever _____ she is, she works very hard. We have a 78________________
lot in c_______ and have a lot to talk about. One evening she 79______________
told me that something h______ when her parents were out. 80________________
She was doing her homework one Sunday morning _____ 81_______________
she smelt something ____(燃燒).She stopped to look out 82________________
of the window _____ found a cloud of smoke coming out 83_______________
of her neighbour’s house. She called 119 ______ (立刻). Ten 84________________
minutes later, firemen came and put o_____ the fire. Her neighbor 85______________
was very thankful for her help.
第Ⅱ卷(非選擇題 共40分)
第三部分:寫作(共兩節(jié),滿分40分)
第一節(jié):短文改錯(cuò)(滿分10分)
下面短文中有10處語言錯(cuò)誤。請(qǐng)?jiān)谟绣e(cuò)誤的地方增加、刪除或修改某個(gè)單詞。
增加:在缺詞處加一個(gè)漏字符號(hào)(∧),并在下面加上該加的詞。
刪除:把多余的詞用斜線(\)劃掉。
修改:在錯(cuò)的詞下劃一橫線,并在該詞下面寫上修改后的詞。
注意:1. 每處錯(cuò)誤及其修改均僅限一詞;
2. 只允許修改10處,多者(從第11處起)不計(jì)分。
Today I’d like to tell you anything about riding a bike in London. If you visit London, you’ll
see many buses, cars or bikes. It’s very cheap and quick to use bike. If you take a bus, I often have to wait for an hour or so. Besides, the buses move very slowly. The underground is quickly but expensive and often crowded. I used to travel to work by bus. I was often late, and tiring. Then a friend suggested we went to work by bike. I followed him. Although we went slowly, but we always arrived on time. Taking a bus takes 50 minutes, while ride a bike only half an hour. Now I love riding to work and I feel more better.
第Ⅱ卷(非選擇題共35分)
第一節(jié):短文改錯(cuò)(每空1分,滿分10分)
請(qǐng)按下列情況改錯(cuò)。
該行多一個(gè)詞:把多余的詞用斜線(/)劃掉,在該行右邊橫線上寫出并劃掉。
該行缺一個(gè)詞:在缺詞處加一個(gè)漏字符號(hào)(∧),在該行右邊橫線上寫出該加的詞。
該行錯(cuò)一個(gè)詞:在錯(cuò)詞下畫一橫線,在該行右邊橫線上寫出該改的詞。
www..com該行若無錯(cuò)誤:在該行右邊橫線上畫一個(gè)勾。
My dear students.I didn’t know what I should say 76.
to some of you who is still addicted to the Internet. 77.
As teacher。I’d like to remind you that you’re 78.
wasting your time,energy,or even your life. 79.
You can never find the losing time and youth again. 80.
As students,we should value the limited time to study 81.
hard.As you know,you’11 graduate the school in two 82.
months or so.After graduation,you won’t possibly 83.
find out so good a condition to study in.So make full use of every 84.
minute to study hard so that you won’t feel sadly in the future. 85. .
第Ⅱ卷(非選擇題 共50分)
第三部分寫作(共三節(jié),滿分50分)
第一節(jié)單詞拼寫(共10 小題;每小題1分,滿分10分)
根據(jù)下列句子及所給漢語注釋,在句子右邊的橫線上寫出空缺處各單詞的正確形式。(每空只寫一詞)
56.She bought many________________(手帕)in the shop.
57.Smoking is ____________(禁止) in public places.
58.His suggestion sounds quite ______________(合情理的) to most of us.
59.The government will not______________(猶豫)to take severest measures against any terrorists.
60.Though she graduated from a famous university, she is short of______________(實(shí)踐的)experience.
61.The books in the library are______________(分類) according to subject.
62.The cushion is filled with______________(羽毛).
63.He was forced to_____________(退休)early because of ill health.
64._______________(顯然地) he is an honest boy and never tells lies.
65.They knocked me down and_____________(搶劫) me of my wallet.
1.解析:,故選A。
2.解析:∵
,
故選B。
3.解析:由,得,此時(shí),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(diǎn)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(shí)數(shù),∴,∴;由均值不等式得恒成立,,故②不恒成立,又因?yàn)楹瘮?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(shí),圓面被分成2塊,涂色方法有20種;②當(dāng)或時(shí),圓面被分成3塊,涂色方法有60種;
③當(dāng)時(shí),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(diǎn)時(shí),取得最大值5。
14.解析:∵,∴時(shí),,又時(shí),滿足上式,因此,,
∴。
15.解析:設(shè)正四面體的棱長為,連,取的中點(diǎn),連,∵為的中點(diǎn),∴∥,∴或其補(bǔ)角為與所成角,∵,,∴,∴,又∵,∴,∴與所成角的余弦值為。
16.解析:∵,∴,∵點(diǎn)為的準(zhǔn)線與軸的交點(diǎn),由向量的加法法則及拋物線的對(duì)稱性可知,點(diǎn)為拋物線上關(guān)于軸對(duì)稱的兩點(diǎn)且做出圖形如右圖,其中為點(diǎn)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(huì)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(píng)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(shí),
,,
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(duì)恒成立,即
………………………9分
又(當(dāng)且僅當(dāng)時(shí),)
………………………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(diǎn)做∥,交于點(diǎn),∵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(diǎn)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(diǎn)為,過點(diǎn)
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