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1、兰州四十三中20112012上学期九年级第一次月考数学试题兰州四十三中20112012上学期九年级第一次月考数学试题 温馨提示:题目虽简单,但要仔细做,祝你成功, 姓名 一、选择题(4分15=60分) 1.下列方程中肯定是一元二次方程的是 ( ) 122222 A、ax，bx，c,0 B、3x,2x，1,mx C、 D、 (a，1)x,2x,3,0x，,1x2.用配方法解下列方程是，配方错误的是 ( ) 7652222740()A、 B、 m,m,化为m,x，2x,99,0化为(x，1),100242102222C、 D、 x，8x，9,0化为(x，4),253420()x,x,化为x,392
2、3.已知关于x的一元二次方程x,kx,4,0的一个根为2，则另一根是( ) A、4 B、1 C、2 D、,2 4(下面是李刚同学在一次测验中解答的填空题，其中答对的是( ) 2A( 若x=4，则x,2 B(方程x(2x,1),2x,1的解为x,1 2x,3x，22k,8+2C(若xx+k=0有一根为2，则 D(若分式值为零，则x,1，2 x,125.利用13m的铁丝和一面墙，围成一个面积为20m的长方形，墙作为长方形的长边，求这个长方形的长和宽。设长为xm，可得方程 ( ) 113,2x13,xx(),20x(13,x),20x(),20 A、 B、 C、 D、 x(13,x),202226.
3、下列图形中，是中心对称图形，但不是轴对称图形的是: A、正方形 B、矩形 C、菱形 D、平行四边形 7.不能判断四边形ABCD是平行四边形的是 ( ) A、AB,CD，AD,BC B、AB,CD，AB?CD C、AB,CD，AD?BC D、AB?CD，AD?BC 8.正方形具有而菱形不一定具有的性质是: A、四条边都相等;B、对角线互相垂直平分 C、对角线相等 D、对角线平分一组对角 9.到?ABC的三边距离相等的点是?ABC的 ( ) A、三条中线的交点 B、三条角平分线的交点 C、三条高的交点 D、三条边的垂直平分线的交点 10.一位园艺设计师，计划在一块有一个内角为o60的直角三角形绿化
4、带上种植四种不同的花卉，要求种植的四种花卉分别组成面积相等，形状完全相同的几何图形图案(某同学为此提供了如图所示的五种设计方案(其中可以满足园艺设计师要求的有( ) (A) 2种 (B) 3种 (C) 4种 (D) 5种 attention to improving the quality and efficiency of development and pay more attention to security and reform the peoples livelihood, more focus on maintaining social harmony and stability
5、, and promote the development of township economy in a better and faster, create a new normal XX development and lay a more solid foundation for XX build a well-off society. Completed tasks this year, we must always pay special attention to the primary task of development. XX weak economic base, low
6、 levels of development, economic construction is the Center, we have to create conditions for faster economic development, accumulating more wealth, better peoples lives. Effort should be made to this years economic growth, revenue growth, people have maintained a high rate of income growth, GDP gro
7、wth of more than 15 per cent respectively. Always grasp the fundamental impetus for reform. We are now no soldiers behind many indicators ranked in the bottom of the county from getting bigger. Only by going all out to hard work, hard work, innovation, reform does not adapt to institutional mechanis
8、ms, practices, it is possible to change the face of XX poor, into a well-off society together with people across the country. We want to break the old patterns of thinking, methods and organization of work, bravely and boldly into, making full use of all the advantages, comprehensive reforms, to mak
9、e all its vitality for development impulse, let full play to all sources of wealth creation. Should always stability 11(如图，E、F、G、H分别是四边形ABCD四条边的中点，要使EFGH为矩形，四边形应该具备的条件是: AHDA、一组对边平行而另一组对边不平行 B、对角线相等 EGC、对角线相互垂直 D、对角线互相平分 CBF 212.等腰三角形的腰长等于2m，面积等于1m，则它的顶角等于( ) ooooo A、150 B、30 C、150或30 D、60 13(如图，在下列
10、三角形中，若AB = AC，则能被一条直线分成两个小等腰三角形的是( ) A A A A 0 0 0 0 901083645 B C B C B C B C (1) (2) (3) (4) A.(1)(2)(3) B. (1)(2)(4) C.(2)(3)(4) D. (1)(3)(4) 14(如图，小亮拿一张矩形纸图(1)，沿虚线对折一次得图(2)，下将对角两顶点重合折叠得图(3)。按图(4)沿折痕中点与重合顶点的连线剪开，得到三个图形，这三个图形分别是( ) 上折(2)对角顶点重合折叠沿虚线剪开(3)(4)(1) A、都是等腰梯形; B、两个直角三角形，一个等腰三角形 ; C、两个直角三角
11、形，一个等腰梯形 ; D、都是等边三角形。 15(在直角坐标系XOY中，已知A(1，1)，在x轴上确定点P，使?AOP为等腰三角形，则符合条件的点P共有( )个 (A)1个 (B)2个 (C)3个 (D)4个 二、填空题(4分5=20分) 2 16. 方程x=4x的解是 ( 217. 若关于x的方程x+5x+k=0有实数根，则k的取值范围是_。 40cm16cm18(已知菱形ABCD的周长为，BD,，则这个菱形的面积是 ( BAD OD BCCEA hould always stabilityion. Sntages, comprehensive reforms, to make all it
12、s vitality for development impulse, let full play to all sources of wealth creatreak the old patterns of thinking, methods and organization of work, bravely and boldly into, making full use of all the advaoff society together with people across the country. We want to b-ctices, it is possible to cha
13、nge the face of XX poor, into a welling bigger. Only by going all out to hard work, hard work, innovation, reform does not adapt to institutional mechanisms, pram gettsp the fundamental impetus for reform. We are now no soldiers behind many indicators ranked in the bottom of the county fronue growth
14、, people have maintained a high rate of income growth, GDP growth of more than 15 per cent respectively. Always gra, rever economic development, accumulating more wealth, better peoples lives. Effort should be made to this years economic growthXX weak economic base, low levels of development, econom
15、ic construction is the Center, we have to create conditions for fasteoff society. Completed tasks this year, we must always pay special attention to the primary task of development. -XX build a well evelopment of township economy in a better and faster, create a new normal XX development and lay a m
16、ore solid foundation forivelihood, more focus on maintaining social harmony and stability, and promote the dattention to improving the quality and efficiency of development and pay more attention to security and reform the peoples l2 (18题图) (19题图) (20题图) (19题图) 19(在三角形纸片ABC中，?C,90?，?A,30?，AC,3，折叠该纸片
17、，使点A与点B重合，折痕与AB、AC分别相交于点D和点E(如图2)，折痕DE的长为 ( 20(如图，?AOB是一钢架，且?AOB=10?，为了使钢架更加牢固，需在其内部添加一些钢管EF、FG、GH添加的钢管长度都与OE相等，则最多能添加这样的钢管 根。 三、解答题,共70分) 21、按规定的方法解方程。(4分5=20分) 22 (1)、(配方法) (2)、(公式法) 2x，5x,3,0x,3x，1,02(3)、 (4)、 (x，8)(x，1),12(x，1),3(x，1)，2,022、(8分)如图?ABC中，点D在AC上，E在AB上，且AB=AC，BC=CD，AD=DE=BE。 (1)求证?B
18、CE?DCE; (2)求?EDC的度数。 A D E B C attention to improving the quality and efficiency of development and pay more attention to security and reform the peoples livelihood, more focus on maintaining social harmony and stability, and promote the development of township economy in a better and faster, create
19、 a new normal XX development and lay a more solid foundation for XX build a well-off society. Completed tasks this year, we must always pay special attention to the primary task of development. XX weak economic base, low levels of development, economic construction is the Center, we have to create c
20、onditions for faster economic development, accumulating more wealth, better peoples lives. Effort should be made to this years economic growth, revenue growth, people have maintained a high rate of income growth, GDP growth of more than 15 per cent respectively. Always grasp the fundamental impetus
21、for reform. We are now no soldiers behind many indicators ranked in the bottom of the county from getting bigger. Only by going all out to hard work, hard work, innovation, reform does not adapt to institutional mechanisms, practices, it is possible to change the face of XX poor, into a well-off soc
22、iety together with people across the country. We want to break the old patterns of thinking, methods and organization of work, bravely and boldly into, making full use of all the advantages, comprehensive reforms, to make all its vitality for development impulse, let full play to all sources of weal
23、th creation. Should always stability 23、(本题满分8分) 已知:在?ABC中，AB=AC=a，M为底边BC上的任意一点，过点M分别作AB、AC的平行线A交AC于P，交AB于Q。 1) 求四边形AQMP的周长(3分)。 2) 写出图中的两对相似三角形(2分，不需证明)。 P3) M位于BC的什么位置时，四边形AQMP为菱形, 说明你的理由。(3分) QCBM 24、(8分)列方程解应用题: 某种服装，平均每天可销售20件，每件赢利44元，若每件降价1元，则每天可多售5件。如果每天要赢利1600元，每件应降价多少元, 25、(本题满分8分) 今年，我国政府为
24、减轻农民负担，决定在5年内免去农业税.某乡今年人均上缴农业税25元，若两年后人均上缴农业税为16元，假设这两年降低的百分率相同.(1)求降低的百分率;(2)若小红家有4人，明年小红家减少多少农业税, ion. Sntages, comprehensive reforms, to make all its vitality for development impulse, let full play to all sources of wealth creatreak the old patterns of thinking, methods and organization of work,
25、bravely and boldly into, making full use of all the advaoff society together with people across the country. We want to b-ctices, it is possible to change the face of XX poor, into a welling bigger. Only by going all out to hard work, hard work, innovation, reform does not adapt to institutional mec
26、hanisms, pram gettsp the fundamental impetus for reform. We are now no soldiers behind many indicators ranked in the bottom of the county fronue growth, people have maintained a high rate of income growth, GDP growth of more than 15 per cent respectively. Always gra, rever economic development, accu
27、mulating more wealth, better peoples lives. Effort should be made to this years economic growthXX weak economic base, low levels of development, economic construction is the Center, we have to create conditions for fasteoff society. Completed tasks this year, we must always pay special attention to
28、the primary task of development. -XX build a well evelopment of township economy in a better and faster, create a new normal XX development and lay a more solid foundation forivelihood, more focus on maintaining social harmony and stability, and promote the dattention to improving the quality and ef
29、ficiency of development and pay more attention to security and reform the peoples lhould always stability4 2226、(8分)已知:关于x的方程x-2(m+1)+m-3=0 (1)m为何值 时，方程有两个实根, 2(2)设方程的两个根为x，x，当(x+x)-(x+x)-12=0时，求m的值。 121212027、如图，在直角梯形ABCD中,AD?BC,?B=90,AD=24cm,AB=8cm,BC=26cm,动点P从A开始动点Q从点C开始沿CB边向B以每秒3厘米的速度沿AD边向D以每秒1厘
30、米的速度运动,运动,P、Q分别从点A、C同时出发，当其中一点达到端点时，另外一点也随之停止运动。设运动的时间为t秒。(本题10分) (1)当t等于多少时，四边形PQCD为平行四边形, (2)当t等于多少时，四边形PQCD变为等腰梯形, attention to improving the quality and efficiency of development and pay more attention to security and reform the peoples livelihood, more focus on maintaining social harmony and st
31、ability, and promote the development of township economy in a better and faster, create a new normal XX development and lay a more solid foundation for XX build a well-off society. Completed tasks this year, we must always pay special attention to the primary task of development. XX weak economic ba
32、se, low levels of development, economic construction is the Center, we have to create conditions for faster economic development, accumulating more wealth, better peoples lives. Effort should be made to this years economic growth, revenue growth, people have maintained a high rate of income growth,
33、GDP growth of more than 15 per cent respectively. Always grasp the fundamental impetus for reform. We are now no soldiers behind many indicators ranked in the bottom of the county from getting bigger. Only by going all out to hard work, hard work, innovation, reform does not adapt to institutional m
34、echanisms, practices, it is possible to change the face of XX poor, into a well-off society together with people across the country. We want to break the old patterns of thinking, methods and organization of work, bravely and boldly into, making full use of all the advantages, comprehensive reforms,
35、 to make all its vitality for development impulse, let full play to all sources of wealth creation. Should always stability 一、选择题 4.生物兴趣小组的学生，将自己收集的标本向本组其他成员各赠送一件，全组共相互赠送标本72件，若全组有x名同学，则根据题意列出方程是( ) x(x，1),72x(x,1),722x(x，1),72x(x,1),72，2 A、 B、 C、 D、 6.下列说法正确的是 ( ) A、每个命题都有逆命题 B、真命题的逆命题是真命题 C、假命题的逆命
36、题是假命题 D、每个定理都有逆定理 8.如图5是用4个相同的小矩形与1个小正方形镶嵌而成的正方形图案，已知该图案的面积为49，小正方形的面积为4，若用x、y表示小矩形的两边长(xy)，y 请观察图案，指出以下关系式中不正确的是 ( ) (x A、x+y=7 B、x-y=2 22C、4xy+4=49 D、x+y=25 图5 o1、已知一个等腰三角形有一个角为50，则顶角是( ) ooooA、50 B、80 C、50或80 D、不能确定 ,13(已知0和都是某个方程的解，此方程是( ) 22x,x，1x,1,0x,x,0A( B( C( D( x(x，1),024(如果是一元二次方程，则( ) (
37、m，3)x,mx，1,0m,3m,3m,0m,3且m,0A( B( C( D( 3.在活动课上，小红已有两根长为4cm、8cm的小木棒，现打算拼一个等腰三角形，则小红应取的第三根小木棒长是_cm( 用反证方法证明“在?ABC中，AB=AC，则?B必为锐角”的第一步是假4.设 ( 二、填空题 22.方程的求根公式是 ( ax，bx，c,0(a,0)5.某风景区改造中，需测量两岸游船码头A、B间的距离，设计人员由码头A沿与AB垂直的方0向前进了500m到C处，如图1所示，测得?ACB,60，则这两个码头间的距离AB= m(答案可带根号)( 6.如图2，在?ABC中，已知AC=27，AB的垂直平分线
38、交AB于点D，交AC于点E，?BCE的周长等于50，则BC= ( hould always stabilityion. Sntages, comprehensive reforms, to make all its vitality for development impulse, let full play to all sources of wealth creatreak the old patterns of thinking, methods and organization of work, bravely and boldly into, making full use of a
39、ll the advaoff society together with people across the country. We want to b-ctices, it is possible to change the face of XX poor, into a welling bigger. Only by going all out to hard work, hard work, innovation, reform does not adapt to institutional mechanisms, pram gettsp the fundamental impetus
40、for reform. We are now no soldiers behind many indicators ranked in the bottom of the county fronue growth, people have maintained a high rate of income growth, GDP growth of more than 15 per cent respectively. Always gra, rever economic development, accumulating more wealth, better peoples lives. E
41、ffort should be made to this years economic growthXX weak economic base, low levels of development, economic construction is the Center, we have to create conditions for fasteoff society. Completed tasks this year, we must always pay special attention to the primary task of development. -XX build a
42、well evelopment of township economy in a better and faster, create a new normal XX development and lay a more solid foundation forivelihood, more focus on maintaining social harmony and stability, and promote the dattention to improving the quality and efficiency of development and pay more attentio
43、n to security and reform the peoples l6 7.如图3，已知方格纸中是4个相同的正方形，则?1，?2，?3, ( 08.如图4，已知?ACB=?BDA=90，要使?ACB?BDA，需要添加的一个条件是 ( 229.已知直角三角形两边x、y的长满足 ,x,4,，y,5y，6,0， 则第三边长为 ( 2222222210.欣赏下列各等式:3+4=5，10+11+12=13+14(请写出一个由7个连续正整数组成，前4个数的平方和等于后3个数的平方和的式子 ( A C D B A 2 1 D 03 60E C A B B C 图1 图2 图3 图4 19、一架长2.
44、5m的梯子，斜立在一竖直的墙上，这时梯子底端距墙底端0.7m，如果梯子的顶端沿墙下滑0.4m，那么梯子底端将滑动 了 m。 17、如图，已知AD=BC，要使四边形ABCD是平行四 A B 边形，需要添加条件 (只需添加一个条件)。 18、如图，正方形ABCD的边长为2，AE=EB=1， A D MN=1，线段MN的两端分别在CB、CD上滑动， 当CM= ，?AED与以M、N、C为顶点的 E N 三角形相似(要注意M、N两点都是运动的点) 11.CD平分?ACB，AE?DC交BC的延长线于点E，若?ACE=80?，则?CAE= 度. A ADADOD BE B BCC C (11题图) (12题
45、图) (13题图) 12.如图，在 ABCD中，AC、BD相交于点O，AO,6，BO,10，AC?BD则CD, . 013(如图，等腰梯形ABCD中，AD?BC，AB,CD，BC,34 cm，AD,16 cm，?B,60，那么腰长AB为 ( 22，3x,2x，c,017(已知是方程的一个根，则另一个根是 ( attention to improving the quality and efficiency of development and pay more attention to security and reform the peoples livelihood, more focus
46、 on maintaining social harmony and stability, and promote the development of township economy in a better and faster, create a new normal XX development and lay a more solid foundation for XX build a well-off society. Completed tasks this year, we must always pay special attention to the primary tas
47、k of development. XX weak economic base, low levels of development, economic construction is the Center, we have to create conditions for faster economic development, accumulating more wealth, better peoples lives. Effort should be made to this years economic growth, revenue growth, people have main
48、tained a high rate of income growth, GDP growth of more than 15 per cent respectively. Always grasp the fundamental impetus for reform. We are now no soldiers behind many indicators ranked in the bottom of the county from getting bigger. Only by going all out to hard work, hard work, innovation, reform does not adapt to institutional mechanisms, practices, it is possible to change the face of XX poor, into a well-off society together with people across the country. We want to break the old patterns of thinking, methods and organization of work, bravely an