一、<table border=0 cellspacing=0 cellpadding=0 > <tr > <td > <p><b >单选题</b></p> </td> </tr> </table>
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1.
下列各数中,最小的数是( )
A . -3
B . -0.1
C . 0
D .
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2.
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsup%3E%3Cmrow%3E%3Cmo+stretchy%3D%22false%22%3E%28%3C%2Fmo%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmn%3E2%3C%2Fmn%3E%3Cmo+stretchy%3D%22false%22%3E%29%3C%2Fmo%3E%3C%2Fmrow%3E%3Cmn%3E4%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
的相反数是( )
A . ―8
B . ―16
C .
D . 8
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3.
将如图所示的直角三角形ABC绕直角边AB旋转一周,所得几何体从正面看为( )
![](//tikupic.21cnjy.com/95/63/95636202d91f74a41789be08a59d62be.png)
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4.
资料表明,被称为“地球之肺”的森林正以每年1300万平方千米的速率从地球上消失,其中1300万用科学记数法表示为( )
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-
6.
如图,直线AB、CD相交于点O,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmo%3E%E2%88%A0%3C%2Fmo%3E%3Cmi%3EB%3C%2Fmi%3E%3Cmi%3EO%3C%2Fmi%3E%3Cmi%3EE%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmsup%3E%3Cmrow%3E%3Cmn%3E90%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmi%3Eo%3C%2Fmi%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,OF平分∠AOE,∠1=15°30′,则下列结论中,错误的是( )
![](//tikupic.21cnjy.com/a6/44/a64473dd4d69d644d1d1f39f6162d9b8.png)
A . ∠2=45°
B . ∠1=∠3
C . ∠AOD与∠1互为补角
D . ∠1的余角等于75°30′
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7.
有m辆客车及n个人,若每辆客车乘40人,则还有10人不能上车;若每辆客车乘43人,则只有1人不能上车,用下列四个等式表示:
①
;
②
;
③
;
④
,
其中正确的是( )
A . ①②
B . ②④
C . ②③
D . ③④
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8.
有一列数
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmn%3E4%3C%2Fmn%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmn%3E5%3C%2Fmn%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,…,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmi%3En%3C%2Fmi%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,其中,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E3%3C%2Fmn%3E%3Cmo%3E%C3%97%3C%2Fmo%3E%3Cmn%3E2%3C%2Fmn%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E3%3C%2Fmn%3E%3Cmo%3E%C3%97%3C%2Fmo%3E%3Cmn%3E3%3C%2Fmn%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E3%3C%2Fmn%3E%3Cmo%3E%C3%97%3C%2Fmo%3E%3Cmn%3E4%3C%2Fmn%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmn%3E4%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E3%3C%2Fmn%3E%3Cmo%3E%C3%97%3C%2Fmo%3E%3Cmn%3E5%3C%2Fmn%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmn%3E4%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmn%3E5%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E3%3C%2Fmn%3E%3Cmo%3E%C3%97%3C%2Fmo%3E%3Cmn%3E6%3C%2Fmn%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmn%3E5%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,…,当
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmi%3En%3C%2Fmi%3E%3C%2Fmsub%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E2015%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
时,n的值等于( )
A . 503
B . 502
C . 501
D . 500
二、<table border=0 cellspacing=0 cellpadding=0 > <tr > <td > <p><b >填空题</b></p> </td> </tr> </table>
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-
10.
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmsup%3E%3Cmn%3E85%3C%2Fmn%3E%3Cmi%3Eo%3C%2Fmi%3E%3C%2Fmsup%3E%3Cmsup%3E%3Cmn%3E30%3C%2Fmn%3E%3Cmo%3E%27%3C%2Fmo%3E%3C%2Fmsup%3E%3Cmsup%3E%3Cmn%3E18%3C%2Fmn%3E%3Cmrow%3E%3Cmo%3E%27%3C%2Fmo%3E%3Cmo%3E%27%3C%2Fmo%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmo%3E%3D%3C%2Fmo%3E%3C%2Fmath%3E)
度
-
11.
某物体A先在小明的西南方向,后来A绕小明逆时针旋转了140°,则这时A在小明的方向.
-
12.
已知
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3Ea%3C%2Fmi%3E%3C%2Fmath%3E)
,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3Eb%3C%2Fmi%3E%3C%2Fmath%3E)
互为相反数,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3Em%3C%2Fmi%3E%3C%2Fmath%3E)
,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3En%3C%2Fmi%3E%3C%2Fmath%3E)
互为倒数,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Ec%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,那么
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmi%3Eb%3C%2Fmi%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi%3Em%3C%2Fmi%3E%3Cmi%3En%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmi%3Ec%3C%2Fmi%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
的值等于
.
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13.
若∠AOB=40°,∠BOC=60°,则∠AOC=.
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14.
某商店老板将一件进价为800元的商品先提价50%,再打八折卖出,则卖出这件商品所获利润是元.
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16.
在同一条数轴上,点B位于有理数—8处,点C位于有理数16处,若点B每秒向右匀速运动6个单位长度,同时点C每秒向左匀速运动2个单位长度,当运动秒时,BC的长度为8个单位长度.
三、<table border=0 cellspacing=0 cellpadding=0 > <tr > <td > <p><b >解答题</b></p> </td> </tr> </table>
-
17.
计算:
-
-
-
20.
解方程:
-
(1)
-
(2)
-
21.
如图,将一副三角尺的两个直角顶点O重合在一起,在同一平面内旋转其中一个三角尺.
![](//tikupic.21cnjy.com/29/ce/29ced99dda4bd5a832a4fe77ba862fee.png)
-
(1)
如图1,若 ∠ B O C = 70° ,则 ∠ A O D = 度 .
-
(2)
如图2,若 ∠ B O C = 50°,则 ∠ A O D = 度 .
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(3)
如图1,请猜想
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmo%3E%E2%88%A0%3C%2Fmo%3E%3Cmi%3EB%3C%2Fmi%3E%3Cmi%3EO%3C%2Fmi%3E%3Cmi%3EC%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
与
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmo%3E%E2%88%A0%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmi%3EO%3C%2Fmi%3E%3Cmi%3ED%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
的关系,并写出理由.
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23.
2015年小红在单位七个月奖金的变化情况如表:(正数表示比前一月多的钱数,负数表示比前一月少的钱数,单位:元)
月份 | 一月 | 二月 | 三月 | 四月 | 五月 | 六月 | 七月 |
钱数变化 | +300 | +220 | ―150 | ―100 | +330 | +200 | +280 |
-
(1)
若2014年底12月份奖金定为a元,用代数式表示2015年二月的奖金;
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(2)
请判断七个月以来小红得到奖金最多是哪个月?最少是哪个月?它们相差多少元?
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(3)
若2015年这七个月中小红最多得到的奖金是2800元,请问2014年12月份她得到多少奖金?
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24.
点O是直线AB上一点,∠COD是直角,OE平分∠BOC.
![](//tikupic.21cnjy.com/e7/bf/e7bfdbf2ecb8d7fe48213c5c1fb51f70.png)
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(1)
①、如图1,若∠AOC=50°,求∠DOE的度数;
②、如图1,若∠AOC=α,直接写出∠DOE的度数(用含α的代数式表示);
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(2)
将图1中的∠COD按顺时针方向旋转至图2所示的位置.
探究∠AOC与∠DOE的度数之间的关系,写出你的结论,并说明理由.
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25.
王阿姨去商场选购灯具.其中一种是9瓦(即0.009千瓦)的节能灯,售价为49元/盏,另一种是40瓦(即0.04千瓦)的白炽灯,售价为18元/盏.假设两种灯的照明效果一样,使用寿命都可以达到2800小时.已知王阿姨家所在地的电价是1千瓦1小时收费是0.5元.
-
(1)
设照明时间是x小时,请用含x的代数式分别表示用一盏节能灯的费用和用一盏白炽灯的费用(注:费用=灯的售价+电费)
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(2)
王阿姨想在这两种灯中选购一盏.
①当照明时间是多少时,使用两种灯的费用一样多?
②试用特殊值判断:照明时间在什么范围内,选用白炽灯费用低?照明时间在什么范围内,选用节能灯费用低?