广东省中考数学模拟试卷

1、2014年广东省中考数学模拟试卷一、选择题（本大题10小题，每小题3分，共30分）在每小题列出的四个选项中，只有一个是正确的.1-6的绝对值是（）a-6b6c6d16显示解析2下列各图中，经过折叠能围成一个立方体的是（）abcd显示解析3中国航母辽宁舰是中国人民海军第一艘可以搭载固定翼飞机的航空母舰，满载排水量为67500吨，这个数据用科学记数法表示为（）a6.75104吨b6.75103吨c6.75105吨d6.7510-4吨显示解析4若m-n=-1，则（m-n）2-2m+2n的值为（）a-1b1c2d3显示解析5一组数据2，4，x，2，4，7的众数是2，则这组数据的平均数、中位数分别为（）

2、a3.5，3b3，4c3，3.5d4，3显示解析6如图，直线l1l2，若1=140，2=70，则3的度数是（）a60b65c70d80显示解析7如果ab0，那么下列判断正确的是（）aa0，b0ba0，b0ca0，b0da0，b0或a0，b0显示解析8不等式组2x12x17的解集在数轴上表示正确的是（）abcd显示解析9下列标志中，可以看作是中心对称图形的是（）abcd显示解析10二次函数y=ax2+bx+c的图象如图所示，则一次函数y=ax+b与反比例函数y=cx在同一平面直角坐标系中的大致图象为（）abcd显示解析二、填空题（本大题6小题，每小题4分，共24分）请将下列各题的正确答案填写在答

3、题卡相应的位置上11分解因式：2x2-4x=显示解析12已知a1+|a+b+1|0，则ab=显示解析13=80，则的补角为显示解析14如图，在小山的东侧a点有一个热气球，由于受西风的影响，以30米/分的速度沿与地面成75角的方向飞行，25分钟后到达c处，此时热气球上的人测得小山西侧b点的俯角为30，则小山东西两侧a、b两点间的距离为米显示解析15如图，在abc中，debc，ad=1，ab=3，de=2，则bc=显示解析16如图，ab是半圆o的直径，且ab=8，点c为半圆上的一点将此半圆沿bc所在的直线折叠，若圆弧bc恰好过圆心o，则图中阴影部分的面积是（结果保留）显示解析三、解答题（一）（本大

4、题3小题，每小题5分，共15分）17解方程：12x+2(54x+1)8+x显示解析18先化简，再求值：(3xx2xx+2)x24x，再选择一个使原式有意义的x代入求值显示解析19如图，已知线段ab（1）用尺规作图的方法作出线段ab的垂直平分线l（保留作图痕迹，不要求写出作法）；（2）在（1）中所作的直线l上任意取两点m，n（线段ab的上方）连结am，an，bm，bn求证：man=mbn显示解析四、解答题（二）（本大题3小题，每小题8分，共24分）20某商场以每件280元的价格购进一批商品，当每件商品售价为360元时，每月可售出60件，为了扩大销售，商场决定采取适当降价的方式促销，经调查发现，如

5、果每件商品降价1元，那么商场每月就可以多售出5件（1）降价前商场每月销售该商品的利润是多少元？（2）要使商场每月销售这种商品的利润达到7200元，且更有利于减少库存，则每件商品应降价多少元？显示解析21保障房建设是民心工程，广东省某市从2009年开始加快保障房建设进程，现统计了该市2009年到2013年这5年新建保障房情况，绘制成如图所示的折线统计图和不完整的条形统计图（1）小丽看了统计图后说：“该市2012年新建保障房的套数比2011年少了”你认为小丽说法正确吗？请说明理由（2）求补全条形统计图（3）求这5年平均每年新建保障房的套数显示解析22如图点a、b、c、d在o上，acbd于点e，过点

6、o作ofbc于f，求证：（1）aebofc；（2）ad=2fo显示解析五、解答题（三）（本大题3小题，每小题9分，共27分）23如图，抛物线y=ax2+bx（a0）经过原点o和点a（2，0）（1）写出抛物线的对称轴与x轴的交点坐标；（2）点（x1，y1），（x2，y2）在抛物线上，若x1x21，比较y1，y2的大小；（3）点b（-1，2）在该抛物线上，点c与点b关于抛物线的对称轴对称，求直线ac的函数关系式显示解析24已知直线pd垂直平分o的半径oa于点b，pd交o于点c、d，pe是o的切线，e为切点，连结ae，交cd于点f（1）若o的半径为8，求cd的长；（2）证明：pe=pf；（3）若pf

7、=13，sina=513，求ef的长显示解析25已知：如图，在平行四边形abcd中，ab=12，bc=6，adbd以ad为斜边在平行四边形abcd的内部作rtaed，ead=30，aed=90（1）求aed的周长；（2）若aed以每秒2个单位长度的速度沿dc向右平行移动，得到a0e0d0，当a0d0与bc重合时停止移动，设运动时间为t秒，a0e0d0与bdc重叠的面积为s，请直接写出s与t之间的函数关系式，并写出t的取值范围；（3）如图，在（2）中，当aed停止移动后得到bec，将bec绕点c按顺时针方向旋转（0180），在旋转过程中，b的对应点为b1，e的对应点为e1，设直线b1e1与直线b

8、e交于点p、与直线cb交于点q是否存在这样的，使bpq为等腰三角形？若存在，求出的度数；若不存在，请说明理由xqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3p tgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawg

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