安徽省宿州市泗县中学七年级（下）第一次月考试卷

1、2013-2014学年安徽省宿州市泗县中学七年级（下）第一次月考试卷一、选择题（每小题3分，共30分）1下列运算正确的是（）aa2a3=a6b（x5）2=x7c（-3c）2=9c2d（a-2b）2=a2-2ab+4b2显示解析2下列式子中，不成立的是（）a2x23x=6x3b（-6x4）（3x2）=-18x6c（2x+1）（2x-1）=2x2-1d(12ab2c3)214a2b4c6显示解析3若a2b214，ab12，则a+b的值为（）a12b12c1d2显示解析4计算：(19)201392014=（）a19b9c1d94027显示解析5利用平方差公式计算20122-20132011的结果是（

2、）a-1b1c-2d2显示解析6已知（x+a）（x+b）=x2-11x+18，则a+b的值是（）a-11b11c-18d18显示解析7方程x（x-3）+2（x-3）=x2-8的解为（）ax=2bx=-2cx=4dx=-4显示解析8将正方形的边长由acm增加6cm，则正方形的面积增加了（）a36cm2b12acm2c（36+12a）cm2d以上都不对显示解析9已知x+1x2，则下列等式成立的有（）x2+1x22；x4+1x42；x8+1x82；x1x0abcd显示解析10如图在边长为a的正方形中挖掉一个边长为b的小正方形（ab），把剩下的部分拼成一个矩形，通过计算两处图形的面积，验证了一个等式，

3、此等式是（）aa2-b2=（a+b）（a-b）b（a+b）2=a2+2ab+b2c（a-b）2=a2-2ab+b2d（a+2b）（a-b）=a2+ab+b2显示解析二、填空题（每小题3分，共24分）11有一道计算题：（-a4）2，李老师发现全班有以下四种解法，（-a4）2=（-a4）（-a4）=a4a4=a8；（-a4）2=-a42=-a8；（-a4）2=（-a）42=（-a）8=a8；（-a4）2=（-1a4）2=（-1）2（a4）2=a8；你认为其中完全正确的是（填序号）显示解析12若（am+1bn+2）（a2n-1b2m）=a3b5，则m+n的值是显示解析13如果单项式-4x2ay2与1

4、4x4y3a2b是同类项，则这两个单项式的积为显示解析14已知长方体长为4102毫米，宽为3102毫米，高为2102毫米，这个长方体的体积是立方毫米显示解析15已知10m=2，10n=3，则103m+2n=显示解析16若m+4n-2=0，则3m81n=显示解析17已知2x+y=1，代数式（y+1）2-（y2-4x）的值为显示解析18如图所示，正方形abcd和正方形cefg的边长分别为a、b，如果a+b=17，ab=60，那么阴影部分的面积是显示解析三、解答题（共66分）19计算（1）（a-2）2+4（a-1）（2）（a+2）（a+2）-a（a+1）（3）（a-b-1）（a+b-1）（4）（x+

5、2y）2（x-2y）显示解析20解下列方程（组）（x+3）2-2（x-3）（x+2）+（x-2）2=5显示解析21化简，求值（1）先化简，再求值：（x+3）（x-3）-x（x-2），其中x=4；（2）先化简，再求值：（2a-b）2-b2，其中a=2，b=3；（3）已知210=a2=4b，化简(14a+15b)(14a15b)(14a+15b)2，并求值显示解析22已知x3m=4，y3n=5，求：（x2m）3+（yn）3-x2mynx4my2n的值显示解析23（1）多项式a2+b2-4a+6b+13=0，求a+b值（2）已知（x+y）2=25，（x-y）2=9，求xy与x2+y2的值显示解析24

6、观察下列等式：32-12=8=81；52-32=16=82；72-52=24=83；92-72=32=84这些等式反映了正整数的某种规律（1）设n为正整数，试用含m的式子，表示你发现的规律；（2）验证你发现规律的正确性，并用文字归纳出这个规律显示解析25小明将一个底为正方形，高为m的无盖盒子展开，如图所示，测得其边长为n，（1）请你计算无盖纸盒的表面展开图的面积s1（即图中阴影部分的面积）（2）将阴影部分拼成一个长方形如图所示，这个长方形的长和宽分别是多少？面积s2是多少？（3）比较（1）、（2）的结果，你得出什么结论？显示解析26下列运算正确的是（）a3x-2x=1b（-2a+1）2=4a2

7、+4a+1c（-a）2a3=a6d（-a2）3=-a6显示解析27下列各式中，与（a-1）2相等的是（）aa2-1ba2-2a+1ca2-2a-1da2+1显示解析28下列运算正确的是（）ax3x4=x12b（-6x6）（-2x2）=3x3c2a-3a=-ad（x-2）2=x2-4显示解析29计算（-x）2x3所得的结果是（）ax5b-x5cx6d-x6显示解析30计算（ab2）3的结果是（）aab5bab6ca3b5da3b6显示解析31下列式子中是完全平方式的是（）aa2+ab+b2ba2+2a+2ca2-2b+b2da2+2a+1显示解析32下列各式计算正确的是（）a2a2+a3=3a5

8、b（3xy）2（xy）=3xyc（2b2）3=8b5d2x3x5=6x6显示解析333(x3)2(y2)3(13xy)=显示解析34若a2+a=0，则2a2+2a+2007的值为显示解析35一个长方形的面积是（x2-9）平方米，其长为（x+3）米，用含有x的整式表示它的宽为米显示解析36先化简，再求值：（a+b）（a-b）+b（b-2），其中a=-1，b=1显示解析37若a0且ax=2，ay=3，则ax-y的值为（）a-1b1c23d32显示解析38已知x+y=-5，xy=6，则x2+y2的值是（）a1b13c17d25显示解析39定义.abcd.=ad-bc，上述记号就叫做2阶行列式若.x+

9、1x11xx+1.=6，x=显示解析40计算：（-2a-2）3b22a-8b-3显示解析41如图，正方形卡片a类，b类和长方形卡片c类若干张，如果要拼一个长为（a+2b），宽为（a+b）的大长方形，则需要c类卡片张 tgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgk tgz7r4i30ka1dkaghn3xtk

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