2014年高考二轮复习热点预测：专题8动词的时态和语态英语试卷（带解析）

1.已知椭圆C：

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1 (a > b > 0)

经过点

(1 ， \frac{2 \sqrt{3}}{3})

，左右焦点分别为F₁、F₂，圆x²+y²=2与直线x+y+b=0相交所得弦长为2．

（Ⅰ）求椭圆C的标准方程；

（Ⅱ）设Q是椭圆C上不在x轴上的一个动点，O为坐标原点，过点F₂作OQ的平行线交椭圆C于M、N两个不同的点

⑴试探究 $\frac{| M N |}{| O Q |^{2}}$ 的值是否为一个常数？若是，求出这个常数；若不是，请说明理由．

⑵记△QF₂M的面积为S₁，△OF₂N的面积为S₂，令S=S₁+S₂，求S的最大值．

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2.已知椭圆C：

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1 (a > b > 0)

经过点

(1 ， \frac{2 \sqrt{3}}{3})

，左右焦点分别为F₁、F₂，圆x²+y²=2与直线x+y+b=0相交所得弦长为2．

（Ⅰ）求椭圆C的标准方程；

（Ⅱ）设Q是椭圆C上不在x轴上的一个动点，O为坐标原点，过点F₂作OQ的平行线交椭圆C于M、N两个不同的点

⑴试探究 $\frac{| M N |}{| O Q |^{2}}$ 的值是否为一个常数？若是，求出这个常数；若不是，请说明理由．

⑵记△QF₂M的面积为S₁，△OF₂N的面积为S₂，令S=S₁+S₂，求S的最大值．

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3.已知椭圆C：

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1 (a > b > 0)

经过点

(1 ， \frac{2 \sqrt{3}}{3})

，左右焦点分别为F₁、F₂，圆x²+y²=2与直线x+y+b=0相交所得弦长为2．

（Ⅰ）求椭圆C的标准方程；

（Ⅱ）设Q是椭圆C上不在x轴上的一个动点，O为坐标原点，过点F₂作OQ的平行线交椭圆C于M、N两个不同的点

⑴试探究 $\frac{| M N |}{| O Q |^{2}}$ 的值是否为一个常数？若是，求出这个常数；若不是，请说明理由．

⑵记△QF₂M的面积为S₁，△OF₂N的面积为S₂，令S=S₁+S₂，求S的最大值．

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4.将函数

f (x) = 2 c o s (x - \frac{π}{3}) - 1

的图象向右平移

\frac{π}{3}

个单位，再把所有的点的横坐标缩短到原来的

\frac{1}{2}

倍（纵坐标不变），得到函数y=g（x）的图象，则图象y=g（x）的一个对称中心为（　　）

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5.已知向量

\vec{a} ， \vec{b}

满足

| \vec{a} | = 1

，

| \vec{a} + \vec{b} | = \sqrt{7}

，

\vec{a} \cdot (\vec{b} - \vec{a}) = - 4

，则

\vec{a}

与

\vec{b}

夹角是（　　）

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6.已知某空间几何体的三视图如图所示，则该几何体的体积为（　　）

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7.已知极坐标系的极点在直角坐标系的原点，极轴与x轴的正半轴重合，曲线C的极坐标方程为ρ²cos²θ+3ρ²sin²θ=3，直线l的参数方程为

{\begin{matrix} x = - \sqrt{3} t \\ y = 1 + t \end{matrix} (t 为 参 数 ， t \in R)

．试在曲线C上求一点M，使它到直线l的距离最大．

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8.已知极坐标系的极点在直角坐标系的原点，极轴与x轴的正半轴重合，曲线C的极坐标方程为ρ²cos²θ+3ρ²sin²θ=3，直线l的参数方程为

{\begin{matrix} x = - \sqrt{3} t \\ y = 1 + t \end{matrix} (t 为 参 数 ， t \in R)

．试在曲线C上求一点M，使它到直线l的距离最大．

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9.若正实数x，y满足x²+2xy﹣1=0，则2x+y的最小值为{#blank#}1{#/blank#}．

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10.已知函数f（x）=x³+x+1，若对任意的x，都有f（x²+a）+f（ax）＞2，则实数a的取值范围是{#blank#}1{#/blank#}．

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11.已知点F，A是椭圆C：

\frac{x^{2}}{16} + \frac{y^{2}}{12} = 1

的左焦点和上顶点，若点P是椭圆C上一动点，则△PAF周长的最大值为{#blank#}1{#/blank#}．

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12.如图，在由5个边长为1，一个顶角为60°的菱形组成的图形中，

\vec{A B}

•

\vec{C D}

={#blank#}1{#/blank#}．

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13.设点P在曲线y= {#mathml#}

\frac{1}{2}

{#/mathml#} e^x上，点Q在曲线y=ln（2x）上，则|PQ|的最小值为{#blank#}1{#/blank#}．

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14.设点P在曲线y= {#mathml#}

\frac{1}{2}

{#/mathml#} e^x上，点Q在曲线y=ln（2x）上，则|PQ|的最小值为{#blank#}1{#/blank#}．

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15.等比数列{a_n}的公比q＞0．已知a₂=1，a_n+2+a_n+1=6a_n，则{a_n}的前4项和S₄={#blank#}1{#/blank#}．

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16.已知函数

f (x) = 4 s i n x c o s (x + \frac{π}{3}) + \sqrt{3}

，

x \in [0 ， \frac{π}{6}]

．

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17.若对任意的x∈D，均有g（x）≤f（x）≤h（x）成立，则称函数f（x）为函数g（x）到函数h（x）在区间D上的“任性函数”．已知函数f（x）=kx，g（x）=x²﹣2x，h（x）=（x+1）（lnx+1），且f（x）是g（x）到h（x）在区间[1，e]上的“任性函数”，则实数k的取值范围是{#blank#}1{#/blank#}．

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18.设实数x，y满足约束条件

{\begin{matrix} 3 x - y - 6 \leq 0 \\ x - y + 2 \geq 0 \\ x \geq 0 \\ y \geq 0 \end{matrix}

，若目标函数z=ax+by（a＞0，b＞0）的最大值为10，则a²+b²的最小值为{#blank#}1{#/blank#}．

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19.设实数x，y满足约束条件

{\begin{matrix} 3 x - y - 6 \leq 0 \\ x - y + 2 \geq 0 \\ x \geq 0 \\ y \geq 0 \end{matrix}

，若目标函数z=ax+by（a＞0，b＞0）的最大值为10，则a²+b²的最小值为{#blank#}1{#/blank#}．

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20.执行如图所示的程序框图，则输出的结果是（　　）

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21.执行如图所示的程序框图，则输出的结果是（　　）

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22.执行如图所示的程序框图，则输出的结果是（　　）

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23.如图，CD为△ABC外接圆的切线，AB的延长线交直线CD于点D，E，F分别为弦AB与弦AC上的点，且BC•AE=DC•AF，B，E，F，C四点共圆．证明：CA是△ABC外接圆的直径．

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24.如图，CD为△ABC外接圆的切线，AB的延长线交直线CD于点D，E，F分别为弦AB与弦AC上的点，且BC•AE=DC•AF，B，E，F，C四点共圆．证明：CA是△ABC外接圆的直径．

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25.各项为正的数列{a_n}满足

a_{1} = \frac{1}{2} ， a_{n + 1} = \frac{a_{n}^{2}}{λ} + a_{n} (n \in N^{*})

，

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26.如图，在四棱锥P﹣ABCD中，PA=PB，PA⊥PB，AB⊥BC，且平面PAB⊥平面ABCD，若AB=2，BC=1，

A D = B D = \sqrt{5}

．

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27.如图，在四棱锥P﹣ABCD中，PA=PB，PA⊥PB，AB⊥BC，且平面PAB⊥平面ABCD，若AB=2，BC=1，

A D = B D = \sqrt{5}

．

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28.已知集合A={﹣1，1，2，3}，B={x|x∈R，x²＜3}，则A∩B={#blank#}1{#/blank#}．

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29.在平面直角坐标系xOy中，已知直线l的普通方程为x﹣y﹣2=0，曲线C的参数方程为

{\begin{matrix} x = 2 \sqrt{3} c o s θ \\ y = 2 s i n θ \end{matrix}

（θ为参数），设直线l与曲线C交于A，B两点．若点P在曲线C上运动，当△PAB的面积最大时，求点P的坐标及△PAB的最大面积．

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30.在平面直角坐标系xOy中，已知直线l的普通方程为x﹣y﹣2=0，曲线C的参数方程为

{\begin{matrix} x = 2 \sqrt{3} c o s θ \\ y = 2 s i n θ \end{matrix}

（θ为参数），设直线l与曲线C交于A，B两点．若点P在曲线C上运动，当△PAB的面积最大时，求点P的坐标及△PAB的最大面积．

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31.已知函数f（x）=2lnx+x²﹣ax，a∈R．

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32.已知函数f（x）=2lnx+x²﹣ax，a∈R．

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33.已知函数f（x）=2lnx+x²﹣ax，a∈R．

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34.从1，2，3，4这四个数中一次随机取两个数，则两个数和为偶数的概率为{#blank#}1{#/blank#}．

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35.复数（a+i）（1+2i）是纯虚数（i是虚数单位），则实数a={#blank#}1{#/blank#}．

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36.在△ABC中，若C=120°，tanA=3tanB，sinA=λsinB，则实数λ={#blank#}1{#/blank#}．

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37.函数

f (x) = s i n (4 x + \frac{π}{6})

的最小正周期为{#blank#}1{#/blank#}．

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38.已知函数f（x）=

{\begin{matrix} | l n x | ， 0 < x \leq e \\ f (2 e - x) ， e < x < 2 e \end{matrix}

设方程f（x）=2^﹣x+b（b∈R）的四个实根从小到大依次为x₁，x₂，x₃，x₄，对于满足条件的任意一组实根，下列判断中一定成立的是（　　）

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39.已知x、y满足

{\begin{matrix} x - y \geq 0 \\ x + y - 4 \geq 0 \\ x \leq 4 \end{matrix}

则4x﹣y的最小值为（　　）

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40.已知x、y满足

{\begin{matrix} x - y \geq 0 \\ x + y - 4 \geq 0 \\ x \leq 4 \end{matrix}

则4x﹣y的最小值为（　　）

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41.某算法的伪代码如图所示，如果输入的x值为32，则输出的y值为{#blank#}1{#/blank#}．

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42.某算法的伪代码如图所示，如果输入的x值为32，则输出的y值为{#blank#}1{#/blank#}．

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43.某算法的伪代码如图所示，如果输入的x值为32，则输出的y值为{#blank#}1{#/blank#}．

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44.设样本数据x₁，x₂，…，x₁₀的均值和方差分别为1和4，若y_i=x_i+a（a为非零常数，i=1，2，…，10），则y₁，y₂，…，y₁₀的均值和方差分别为（　　）

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45.若复数（1+mi）（3+i）（i是虚数单位，m∈R）是纯虚数，则复数

\frac{m + 3 i}{1 - i}

的模等于（　　）

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46.如图所示，三棱柱ABC﹣A₁B₁C₁中，已知AB⊥侧面BB₁C₁C，AB=BC=1，BB₁=2，∠BCC₁=60°．

（Ⅰ）求证：C₁B⊥平面ABC；

（Ⅱ）E是棱CC₁所在直线上的一点，若二面角A﹣B₁E﹣B的正弦值为 $\frac{1}{2}$ ，求CE的长．

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47.为了竖一块广告牌，要制造三角形支架，如图，要求∠ACB=60°，BC的长度大于1米，且AC比AB长0.5米，为了稳固广告牌，要求AC越短越好，则AC最短为（　　）

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48.设a=log₂3，

b = \frac{4}{3}

，c=log₃4，则a，b，c的大小关系为（　　）

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49.已知cosα=

\frac{3}{5}

，cos（α﹣β）=

\frac{7 \sqrt{2}}{10}

，且0＜β＜α＜

\frac{π}{2}

，那么β=（　　）

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50.已知cosα=

\frac{3}{5}

，cos（α﹣β）=

\frac{7 \sqrt{2}}{10}

，且0＜β＜α＜

\frac{π}{2}

，那么β=（　　）

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51.已知cosα=

\frac{3}{5}

，cos（α﹣β）=

\frac{7 \sqrt{2}}{10}

，且0＜β＜α＜

\frac{π}{2}

，那么β=（　　）

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52.人类正确对待动物的措施是（）

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53.在研究转基因超级鼠的培育过程中，通过某种方法将大鼠生长激素基因导入一个小鼠的受精卵中，结果使出生的转基因鼠比普通的小鼠的生长速度快2﹣3倍．请回答下列问题：

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54.

2016年1月1日起施行的《居住证暂行条例》规定，公民离开常住户口所在地，到其他城市居住半年以上，符合有合法稳定就业、合法稳定住所、连续就读条件之一的，可以依照条例的规定申领居住证。县级以上人民政府应当建立健全为居住证持有人提供基本公共服务和便利的机制。这旨在（）

①保障我国人民当家作主，有序扩大公民的基本政治权利

②尊重和保障人权，保障公民依法享有广泛权利

③督促各级政府加强社会建设，进一步提高政府为人民服务的能力和水平

④督促各级政府加强市场监管，进一步推动基本公共服务均等化

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55.

As he approached the door, Mike looked into the room again to see if he _______ anything behind.

A．left	B．had left
C．has left	D．would leave

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56.

—Hi, Mr. Smith. Which department do you work in?
—I am in the Marketing Department now, but I_________ in the Sales Department before long.

A．worked	B．will work
C．have worked	D．will have worked

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57.

—Have you heard about that school bus accident?
—Yes, fortunately all on board including the driver ________.

A．were saved	B．was saved
C．have saved	D．has been saved

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58.

—Have they got their new house painted yet?
—I don't know. But I was told it ________ when I met them last week.

A．had been painting	B．would be painting
C．was painted	D．was being painted

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59.

She is a wellknown doctor now, but she ________ as a cleaner at the hospital for five years.

A．has worked	B．worked
C．had worked	D．works

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60.

—Can you tell me if Tom has finished his homework?
—I've no idea. He ________ it this morning.

A．has being doing	B．had done
C．is doing	D．was doing

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61.

My parents ________ in Hong Kong. They were born there and have never lived anywhere else.

A．lived	B．were living
C．live	D．will live

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62.

—What happened to Bill?
—He ________ really fast when suddenly he ran into a parked car.

A．had run	B．was running
C．has run	D．has been running

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63.

Allen has decided that he will be an engineer by the time he ________ twenty.

A．had been	B．is going to be
C．will be	D．is

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64.

．The sweater ________ easily; isn't it suitable for a person as lazy as you?

A．is washed	B．was washed
C．washes	D．has washed

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65.

—How long have you been going to work on foot?
—Since last month when I ________ from a heart attack.

A．recovered	B．have recovered
C．was recovering	D．would recover

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66.

—It seems that you know Dr. John very well.
—Of course, we ________ together for five years in the 1990s.

A．have worked	B．had worked
C．are working	D．worked

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67.

—What happened? I called you several times yesterday evening, but I couldn't get through.
—Sorry, my sister and I ________ on the phone all the time.

A．talked	B．have talked
C．were talking	D．have been talking

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68.

—What's up? You didn't pick up the phone just now.
—I'm sorry that I ________ dancing with music on, but it's done now.

A．practised	B．was practising
C．am practising	D．have practiced

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69.

This kind of ice cream ________ like a combination of banana and strawberry.

A．tasted	B．is tasted
C．being tasted	D．tastes

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70.

—Sorry, I didn't catch you.
—Be quiet, please; the baby ________.

A．was sleeping	B．is sleeping
C．slept	D．has slept

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71.

Kate ________ on her new novel, which is supposed to come out next month.

A．was working	B．had worked
C．will be working	D．has been working

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72.

All the Harry Potter books by Joanne Rowling, a poor single mother ________ in Edinburgh, ________ all over the world.

A．lives; are well sold	B．lives; sell good
C．living; sell well	D．living; are well sold

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73.

Now we have arrived at the lake. But the view I photographed that day ________ any more.

A．doesn't exist	B．isn't existing
C．hasn't existed	D．hadn't existed

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74.

Up to now, our society ________ with limited living space and a shortage of natural resources.

A．has been challenged	B．is being challenged
C．is challenging	D．has challenged

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75.

You have no chance of getting the position. I'm afraid you ________ your time if you apply for it.

A．waste	B．have wasted
C．have been wasting	D．will be wasting

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76.

—Was he still there when you were away to answer the phone?
—There is no doubt about it, but he ________ soon afterwards.

A．had left	B．has left
C．is leaving	D．left

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77.

Since the band announced the release of their new album, the phone hasn't stopped ringing. Many fans ________ to ask about the exact time.

A．were calling	B．had called
C．are calling	D．call

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78.

—The heavy snow hasn't caused any inconvenience to people in Nanjing, has it?
—Yes. Just imagine the city ________ with nearly 20 centimeters of snow one night.

A．has been hit	B．was hit
C．had been hit	D．is hit

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79.

Many grownups ________ challenging conversations with their children later this month to help them recover from the panic.

A．have had

B．have

C．will be having

D．will have had

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80.

Linda felt someone ________ on her way home from work yesterday evening, and therefore she was frightened and looked back from time to time.

A．followed	B．would follow
C．had followed	D．was following

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81.

—When are you leaving for Chicago?
—As soon as we ________ the project.

A．are completing	B．completed
C．will complete	D．complete

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82.

In general, most tennis ________ on hard courts or on clay.

A．plays	B．is played
C．has played	D．has been played

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83.

Despite ongoing street protests, US beef ________ in South Korea due to its lower price.

A．is sold well	B．sells well
C．sells poorly	D．is sold poorly

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84.

Today many physical bookstores down with financial difficulties, inflexible management strategies and competitive pressure from online bookstores.

A．had closed	B．having closed
C．being closed	D．are closing

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85.

—We'll go to the party to be held in Qinghai Grand Theater at 8 tonight. Could you join us?
—I'm afraid I can't. I ________ the holiday plan with my friends.

A．am discussing	B．have discussed
C．will be discussing	D．will have discussed

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86.

Although my sweater is a bit expensive, it ________ well.

A．washes	B．has washed
C．is washed	D．can be washed

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87.

— Are these seats available?
— Sorry, sir. The seats _____.

A．have reserved

B．are reserved

C．reserved

D．are reserving

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88.

—What's the matter with Philips?
—Something must have happened to him. He left home three hours ago, but ________ at the party!

A．didn't arrive	B．isn't arriving
C．hadn't arrived	D．hasn't arrived

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89.

If this product does not give you complete satisfaction, please return it to the manufacturer, stating when it ________.

A．is purchased	B．will be purchased
C．purchases	D．has purchased

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90.

It's said that they ________ a better life ever since they moved to the US.

A．had enjoyed	B．have been enjoying
C．were enjoying	D．would enjoy

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91.

—Ouch! You hurt me.
—I'm sorry. But I ________ any harm. I ________ to drive a rat out.

A．don't mean; am trying

B．didn't mean; tried

C．haven't meant; tried

D．didn't mean; was trying

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92.

Egg prices usually ________ in spring when they are most plentiful.

A．are dropping	B．drop
C．have dropped	D．will drop

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93.

—Did you listen to the report last Friday?
—Yes, it was about the shortage of immigrant workers. That was the first time I ________ about the subject.

A．have heard	B．was hearing
C．would hear	D．had heard

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94.

I had wanted to take the career of being a model, but I ________ not good at dealing with constant media attention.

A．had been	B．has been
C．am	D．was

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95.

--- Alas! I have left my key to the office in my car.
--- Don't worry. I it for you. Wait a minute.

A．get	B．am going to get
C．will get	D．am getting

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96.

—Ye Shiwen got the championship in the women's 400 meter individual medley at London Olympics.
—She fully deserves the title. She ________ for it for years.

A．is preparing	B．was preparing
C．has prepared	D．had been preparing

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97.

If we don't hurry up, everything ________ by the time we get to the party.

A．will be eaten	B．is eaten
C．has been eaten	D．will have been eaten

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98.

—Have you ever been to Singapore?
—Yes, I ________ there three times in 2009 alone.

A．have been	B．have gone
C．went	D．had gone

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99.

The vegetables in his field ________ well, because they are pollutionfree.

A．are selling	B．have been sold
C．are sold	D．sell

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100.

I ________ up to $5 000 by the time the new term begins in September.

A．have saved	B．will have saved
C．will be saving	D．had saved

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101.

—Got your driving license?
—No. I ________ too busy to have enough practice, so I didn't take the driving test last week.

A．was	B．have been
C．were	D．had been

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102.

I can't understand why he ________ so selfish. He isn't usually like that.

A．was

B．had been

C．is

D．is being

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103.

The woman sitting next to me ________ very nervous, for she had never travelled by air.

A．is	B．has been
C．was	D．had been

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104.

Your headmaster would have been happy to give you two days off, if you had gone and explained that your parents ________ ill at the time.

A．were	B．had been
C．are	D．would be

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105.

—How long on earth shall I have to wait?
—Sorry, sir. Just a minute. There ________ a table available.

A．is

B．was

C．will be

D．has been

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106.

When I ________ home, I caught a thief stealing from a passerby.

A．headed	B．was heading
C．has headed	D．had headed

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107.

Up to now, thousands of red phone boxes, the old image of Britain, ________ due to mobile phones.

A．removed	B．have removed
C．were removed	D．have been removed

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108.

This is a promising company as its employees ________ to think outside the box and develop creative solutions.

A．encourage	B．have encouraged
C．were encouraged	D．are encouraged

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109.

I won't buy this iPhone unless the price ________ to under 2,000 yuan.

A．reduces	B．will be reduced
C．has reduced	D．is reduced

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110.

I ________ for Beijing next Saturday. Do you know when the earliest plane ________ on Saturday?

A．am leaving; takes off

B．Leave; takes off

C．leave; is taking off

D．am leaving; is taking off

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111.

—Do you know the Water Cube at all?
—No, this is the first time I ________ here.

A．have been	B．came
C．was	D．am going

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112.

A kind of newly-made shoes, if put into the market, _________ large orders because the heels can switch from 4 to 9 centimeters.

A．meets	B．will meet
C．has met	D．met

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113.

All the preparations for the task ________， and we're ready to start.

A．completed	B．have completed
C．will be completed	D．have been completed

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114.

—Can I come after dinner?
—Yes, that's fine. I ________ anything.

A．don't do	B．won't do
C．won't be doing	D．am not doing

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115.

J. K. Rowling ________ writing Harry Potter at a local caf because she could not afford to heat her home.

A．started	B．starts
C．has started	D．had started

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116.

—Will you see me off at the airport at ten tomorrow morning?
—Sorry, I ________ a lecture then.

A．will be giving

B．will give

C．give

D．have given

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117.

—The rain ________ fast and heavy.
—You should ________ some shelter. Look at you—you are all wet.

A．is coming; find	B．comes; have found
C．came; find	D．came; have found

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118.

—How is your cousin, Kate?
—She broke her leg and ________ medical treatment since.

A．is receiving	B．has received
C．received	D．has been receiving

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119.

—Lucy, tell me about your trip to the beach.
—Awful! There ________ too many holidaymakers.

A．had been	B．were
C．would be	D．have been

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120.

—Sorry, sir. And you'll let me pay to have your jacket cleaned, won't you?
—That's all right. Coffee ________ lasting marks on clothing, I'm sure.

A．didn't leave	B．doesn't leave
C．hasn't left	D．hadn't left

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121.

I thought the teacher would say something about our exam result but he ________ it.

A．doesn't mention	B．hasn't mentioned
C．wouldn't mention	D．didn't mention

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122.

Some StraightA students in school ________ to be less successful in society than they ________ expected.

A．turned out; are	B．have turned out; were
C．will turn out; were	D．had turned out; were

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123.

—When did Bob leave?
—I have no idea. I ________ a shower upstairs.

A．took	B．have taken
C．was taking	D．would take

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124.

She is a hardworking student, and all her spare time she has ________ staying in the library.

A．spent	B．is spent
C．to spend	D．to be spent

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125.

—David, are you listening to me?
—Sorry, Dad. I ________ to make sense of what the reporter said.

A．was trying	B．have tried
C．am trying	D．tried

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126.

It is reported that the Voice of China Season Ⅱ ________ to air on Zhejiang TV this coming summer vacation.

A．schedules	B．is scheduled
C．had scheduled	D．had been scheduled

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127.

Remember to give your parents my regards when you _____home.

A．phoned

B．phone

C．will phone

D．have phoned

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128.

—Look, I've got admission to Harvard University for a shortterm study next semester.
—How fantastic! You ________ a different university life then.

A．have experienced	B．will be experiencing
C．have been experiencing	D．will have experienced

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2014年高考二轮复习热点预测：专题8动词的时态和语态英语试卷（带解析）

1.选择题(共54题)

2.单项选择(共74题)

【1】题量占比

【2】：难度分析