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1、江苏省镇江外国语学校2014年中考九年级第二次模拟考试数学试卷(含答案)镇江市外国语学校2013,2014第二学期 九年级数学二模试卷 (2014.05) 一、 填空题(本大题共有12题,每小题2分,共24分) 1.计算:,2+1=_?_. 2.计算:(a+2)(2a,3)=_ ?_. k3.反比例函数的图像经过点(1,,2),则此图像位于第_?_象限. y,(k,0)x4.已知圆锥的底面直径为5,母线长为5,则圆锥的侧面展开图的圆心角为?_ 5.方程x(x,1)=x的解为_?_ 6.数据,2、,1、0、3、5的方差是_?_ 7.如图,正方形ABCD的边长为8,点M在边DC上,且DM=2,M、
2、N两点关于对角线,ADN=_?_ AC对称,则tan22x,6x,m8.若代数式可化为,则=_?_ m,n(x,n),1,DCE,AEB9.将一副三角板按如图所示摆放,则与的面积比为_?_ 22a、b10.如图是二次函数(为常数)的图像,则=_?_ ay,ax,bx,a,222y,t,x,111.对于函数可以“分解”为两个熟悉的函数:二次函数和反比例函数2x,122y,y,,则函数的取值范围是_?_ 2tx,1D30?ADMAEBCN45? BC第7题 第9题 第10题 第12题 HGJ222-92 technical specification for welding of aluminiu
3、m and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel produ
4、cts mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB5
5、0231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG
6、. Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective mea
7、sures have been taken, the responsible unit fined 200 Yuan, construction person in charge a fine of 50 Yuan. (8) no permit to work and the job in accordance with the provisions, on the job unit fined 300 yuan, the unit will charge a fine of 100 Yuan. 7.5.3 accident penalties (1) injuries fatalities
8、directly punished 12 million. Direct responsibility for the accident and have the corresponding responsibility of leadership, such as concerning administrative sanctions, should be brought to the company or the relevant Department. (2) personal injury 12. 如图,已知A、B是线段MN上的两点,MN=4,MA=1,MB,1(以A为中心顺时针旋转点
9、M,以B为中心逆时针旋转点N,使M、N两点重合成一点C,构成?ABC,设AB=x,若?ABC为直角三角形,则x=_?_ 二、选择题(每小题3分,共15分) 13.一次函数y=,x,1不经过的象限是( ? ) A(第一象限 B(第二象限 C(第三象限 D(第四象限 14.下列命题中错误的是(? ) 2(-3)的平方根是,3A( B(平行四边形是中心对称图形 222C(单项式 D( (-1),15xy与,5xy是同类项2,ABC,ABC15(在中,C=90?,AC、BC的长分别是方程x,7x,12,0的两根, ,内一点P到三边的距离都相等,则PC为 ( ? ) 32222A(1 B( C( D(
10、216.阳阳根据右表,作了三个推测: x-1x x-13- 3-(1)(x0)的值随着x的增大越来越小 xx1 3 x-13-(2)(x0)的值有可能等于2 x10 2.1 x-13-(3)(x0)的值随着x的增大越来越接近于2 1000 2.001 x则推测正确的是 ( ? ) 10000 2.0001 A(1)(2) B(1)(3) C(2)(3) D(1)(2)(3) ,ABC,17. 如图,在菱形ABCD中,AB=m,.将菱形ABCD绕点B顺时针旋转(旋转AD,A、C、DAC,BC角小于90?),点A、C、D分别落在处,当时,( ? ). ,2cos2mcos,mmA( B( 222m
11、cos,m2mcos,C( D( HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedure
12、s of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance o
13、f oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG202
14、01-2000 construction installation engineering construction standard 7, HG . Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fin
15、e of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined 200 Yuan, construction person in charge a fine of 50 Yuan. (8) no permit to work and the job in accordance with the provisions, on the job unit fined 300 yuan, the unit will ch
16、arge a fine of 100 Yuan. 7.5.3 accident penalties (1) injuries fatalities directly punished 12 million. Direct responsibility for the accident and have the corresponding responsibility of leadership, such as concerning administrative sanctions, should be brought to the company or the relevant Depart
17、ment. (2) personal injury 二、 解答题(共81分) 18.(8分) 0(1)计算:tan60? 27(-2014),1a-21-(2) (),2a-1a-13x2-1,19.(10分)(1)解方程: x-22-x2x,3,x,(2)解不等式组,并将解集在数轴上表示出来. ,1-(3x-1),8,x,HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-20第 3 页 共 14
18、 页 04 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equip
19、ment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering constructio
20、n and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG . Pressure gauges, using an installed spark arrestor for acetylene
21、cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined 200 Yuan, constru
22、ction person in charge a fine of 50 Yuan. (8) no permit to work and the job in accordance with the provisions, on the job unit fined 300 yuan, the unit will charge a fine of 100 Yuan. 7.5.3 accident penalties (1) injuries fatalities directly punished 12 million. Direct responsibility for the acciden
23、t and have the corresponding responsibility of leadership, such as concerning administrative sanctions, should be brought to the company or the relevant Department. (2) personal injury20.(5分)学校为丰富学生课间自由活动的内容,随机选取本校部分学生进行调查,调查内容是“你最喜欢的自由活动项目是什么,”,已知喜欢“跳绳”的学生占被调查人数的20%,整理收集到的数据后,绘制成下图. (1)学校采用的调查方式是_?
24、_,被调查的学生有_?_名; )求“喜欢踢毽子”的学生数,并在下图中补全图形; (2(3)该校共有学生800名,估计“喜欢其他”的学生数有_?_名 人数4035 3025 2015 105 0活动项目跳格子踢毽子跳绳其他21.(6分)如图,四边形ABCD的对角线AC与BD相交于O点,?1=?2,?3=?4( 求证:(1)?ABC?ADC; HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004
25、 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment
26、installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and
27、 acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG . Pressure gauges, using an installed spark arrestor for acetylene cylin
28、ders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined 200 Yuan, construction
29、 person in charge a fine of 50 Yuan. (8) no permit to work and the job in accordance with the provisions, on the job unit fined 300 yuan, the unit will charge a fine of 100 Yuan. 7.5.3 accident penalties (1) injuries fatalities directly punished 12 million. Direct responsibility for the accident and
30、 have the corresponding responsibility of leadership, such as concerning administrative sanctions, should be brought to the company or the relevant Department. (2) personal injury (2)BO=DO( 22.(6分)在物理实验中,当电流通过电子元件时,每个元件的状态有两种可能:通过或断开,并且这两种状态的可能性相等. (1)如图1,当两个电子元件a、b并联时,请用树状图或列表法表示图中P、Q之间电流能否通过的所有可能情
31、况,并求出P、Q之间电流通过的概率; (2)如图2,当有三个电子元件并联时,请直接写出P、Q之间电流通过的概率为_?_. a QPQPb 图1 图2 23. (6分)某地震救援队探测出某建筑物废墟下方点 C处有生命迹象,已知废墟一侧地面上两探测点A、B相距3m,探测线与地面的夹角分别是35?和45?,试确定生命所在HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-20第 5 页 共 14 页 04
32、 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment
33、installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and
34、 acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG . Pressure gauges, using an installed spark arrestor for acetylene cylin
35、ders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined 200 Yuan, construction
36、 person in charge a fine of 50 Yuan. (8) no permit to work and the job in accordance with the provisions, on the job unit fined 300 yuan, the unit will charge a fine of 100 Yuan. 7.5.3 accident penalties (1) injuries fatalities directly punished 12 million. Direct responsibility for the accident and
37、 have the corresponding responsibility of leadership, such as concerning administrative sanctions, should be brought to the company or the relevant Department. (2) personal injury点C的深度。 sin35:,0.57cos35:,0.82tan35:,0.70(参考数据:?1.41,?1.73 ,) 3235?45? AB C24.(6分)已知三角形三个顶点坐标,求三角形面积通常有以下三种方法: 方法一:直接法(计算三
38、角形一边的长,并求出该边上的高; 方法二:补形法(将三角形面积转化成若干个特殊的四边形和三角形的面积的和与差; 方法三:分割法(选择一条恰当的直线,将三角形分割成两个便于计算面积的三角形(现给出三点坐标:A(,1,4),B(2,2),C(4,,1),请你选择一种合适的方法计算。 25(7分)2013年1月,由于雾霾天气持续笼罩我国中东部大部分地区,口罩市场出现热卖,某旗舰网店用8000元购进甲、乙两种口罩,销售完后共获利2800元,进价和售价HGJ222-92 technical specification for welding of aluminium and its alloys 5 l
39、ow temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical prope
40、rties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical
41、 equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG . Pressure gauges, u
42、sing an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been take
43、n, the responsible unit fined 200 Yuan, construction person in charge a fine of 50 Yuan. (8) no permit to work and the job in accordance with the provisions, on the job unit fined 300 yuan, the unit will charge a fine of 100 Yuan. 7.5.3 accident penalties (1) injuries fatalities directly punished 12
44、 million. Direct responsibility for the accident and have the corresponding responsibility of leadership, such as concerning administrative sanctions, should be brought to the company or the relevant Department. (2) personal injury 如下表: (1)求该网店购进甲、乙两种口罩各多少袋; (2)该网店第二次以原价购进甲、乙、两种口罩,购进乙种口罩袋数不变,而购进甲种口罩
45、袋数是第一次的2倍(甲种口罩按原售价出售,而乙种口罩让利销售(若两种口罩销售完毕,要使第二次销售活动获利不少于3680元,乙种口罩最低售价为每袋多少元, 6过点A(1,4),与x轴交于点B,与y轴交于点D,以点A,26. (8分)直线y=kx为顶点的抛物线经过点B,且交y轴于点C。 (1) 求抛物线的表达式; (2) 如果点P在x轴上,且?ACD与?PBC 相似,求点P的坐标. 27. (9分)我们将能完全覆盖某平面图形的最小圆称为该平面图形的最小覆盖圆(例如线段AB的最小覆盖圆就是以线段AB为直径的圆( HGJ222-92 technical specification for weldin
46、g of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-20第 7 页 共 14 页 04 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 s
47、teel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmosph
48、eric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering co
49、nstruction standard 7, HG . Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and p