河北省廊坊市广阳区2017届九年级中考二模数学试卷

适用年级：初三
试卷号：67686

试卷类型：中考模拟
试卷考试时间：2018/6/6

1.单选题(共13题)

我国倡导的“一带一路”建设将促进我国与世界一些国家的互利合作，根据规划“一带一路”地区覆盖总人口为4400000000人，这个数用科学记数法表示为

A．44×10⁸

B．4.4×10⁸

C．4.4×10⁹

D．4.4×10¹⁰

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比﹣1小2017的数是（　　）

A．﹣2016

B．2016

C．2018

D．﹣2018

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已知

+（b+2）²=0，则（a+b）²⁰¹⁷的值为（　　）

A．0

B．2016

C．﹣1

D．1

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关于x的一元二次方程x²﹣x+k=0有两个实数根，则k的取值范围是（　　）

A．k≥

B．k≥﹣

C．k≤

D．k≤﹣

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为了举行班级晚会，小明准备去商店购买20个乒乓球做道具，并买一些乒乓球拍做奖品．已知乒乓球每个1.5元，球拍每个22元．如果购买金额不超过200元，购买的球拍为x个，那么x的最大值是（　　）

A．7

B．8

C．9

D．10

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若点A（1，2），B（﹣2，﹣3）在直线y=kx+b上，则函数y=

的图象在（　　）

A．第一、三象限

B．第一、二象限

C．第二、四象限

D．第二、三象限

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某企业生产季节性产品，当产品无利润时，企业自动停产，经过调研，它一年中每月获得的利润y（万元）和月份n之间满足函数关系式y=﹣n²+12n﹣11，则企业停产的月份为（　　）

A．1月和11月

B．1月、11月和12月

C．1月

D．1月至11月

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当ab＞0时，y＝ax²与y＝ax+b的图象大致是（　　）

A．

B．

C．

D．

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如图，已知在△ABC中，AD是高，若∠DAC=50°，则∠C的度数为（　　）

A．60°

B．50°

C．40°

D．30°

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10.

如图，在△ABC中，∠CAB=70°，将△ABC绕点A逆时针旋转到△AB′C′的位置，使得CC′∥AB，则∠BAB′的度数是（　　）

A．70°

B．35°

C．40°

D．50°

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11.

如图，一只蚂蚁沿边长为a的正方体表面从点A爬到点B，则它走过的路程最短为（　　）

A．

B．（1+

）a

C．3a

D．

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12.

下列图形中，是中心对称图形但不是轴对称图形的是（）

A．

B．

C．

D．

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13.

如图，将边长相等的正方形、正五边形和正六边形摆放在平面上，则

为

A．

B．

C．

D．

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2.选择题(共2题)

14.

阅读理解

A man had a little dog, and he liked it a lot. He would pat (拍) its head, put it on his knee and talk to it. Then he would give it some food from his own plate.

A donkey (驴子) looked in through the window and saw the man and the dog.

" Why doesn't he choose me as his pet?" said the donkey. "It is not fair. I work hard, and the dog only shakes its tail, barks and jumps onto the master's (主人) knee. It is not fair. "

Then the donkey said to himself, "If I do what the dog does, the master may choose me as

his pet. "

So the donkey ran into the room. He brayed (嘶叫) at the top of his voice. He shook his tail so hard that he knocked over a jar on the table. Then he tried to jump onto the master's knee.

The master thought the donkey was maniacal , and he shouted, "Help ! Help ! "

Some men came running in with sticks in their hands and they beat the donkey until he ran out of the house.

"I only did what the dog did, " said the donkey, "and yet they still regard the dog as their pet and they beat me with sticks. It is not fair. "

根据短文内容，选择最佳答案，并将其标号填涂在答题卡相应位置。

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15.

阅读理解

A man had a little dog, and he liked it a lot. He would pat (拍) its head, put it on his knee and talk to it. Then he would give it some food from his own plate.

A donkey (驴子) looked in through the window and saw the man and the dog.

" Why doesn't he choose me as his pet?" said the donkey. "It is not fair. I work hard, and the dog only shakes its tail, barks and jumps onto the master's (主人) knee. It is not fair. "

Then the donkey said to himself, "If I do what the dog does, the master may choose me as

his pet. "

So the donkey ran into the room. He brayed (嘶叫) at the top of his voice. He shook his tail so hard that he knocked over a jar on the table. Then he tried to jump onto the master's knee.

The master thought the donkey was maniacal , and he shouted, "Help ! Help ! "

Some men came running in with sticks in their hands and they beat the donkey until he ran out of the house.

"I only did what the dog did, " said the donkey, "and yet they still regard the dog as their pet and they beat me with sticks. It is not fair. "

根据短文内容，选择最佳答案，并将其标号填涂在答题卡相应位置。

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3.填空题(共1题)

16.

若|x|＝2，则x的值是_____．

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4.解答题(共4题)

17.

定义新运算：对于任意不为零的实数a、b，都有a★b=

，求方程x★（2﹣x）=

的解．

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18.

A、B两城相距900千米，一辆客车从A城开往B城，车速为每小时80千米，同时一辆出租车从B城开往A城，车速为每小时100千米，设客车出发时间为t（小时）．
探究　若客车、出租车距A城的距离分别为y₁、y₂，写出y₁、y₂关于t的函数关系式及自变量取值范围，并计算当y₁=240千米时y₂的値．
发现　（1）设点C是A城与B城的中点，AC=

AB，通过计算说明：哪个车先到达C城？该车到达C后再经过多少小时，另一个车会到达C？
（2）若两车扣相距100千米时，求时间t．
决策　已知客车和出租车正好在A，B之间的服务站D处相遇，此时出租车乘客小王突然接到开会通知，需要立即返回，此时小王有两种选择返回B城的方案：
方案一：继续乘坐出租车到C城，加油后立刻返回B城，出租车加油时间忽略不计；
方案二：在D处换乘客车返回B城．
试通过计算，分析小王选择哪种方式能更快到达B城？

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19.

如图，直线y=kx+b过点A（5，0）和点C，反比例函数y=