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1、广东省广州市白云区2012-2013学年九年级第一次中考模拟数学试题及答案广东省广州市白云区2012-2013学年九年级第一次中考模拟数学试题及答案 第一部分 选择题(共30分) 一、选择题(每小题3分，满分30分) 01.计算(-3)的结果为( ) (A)0.14 (B)1 (C) (D)0 2.地球与太阳之间的距离约为149600000千米，用科学计数法表示是( )千米 5678(A)149610 (B)149.610 (C)14.9610 (D)1.49610 3.下列多项式为平方差是( ) 222222 (A)a-b (B)a+b (C)a-2b (D)2a-b4.点A(-2,3)关于
2、原点对称的点的坐标为( ) (A)(-2,-3) (B)(3,-2) (C)(2,3) (D)(2,-3) o5.梯形ABCD中，AB?CD，AD=BC，?C=115，则?D=( ) o o o o(A)55 (B)65 (C)115 (D)165 16.锐角?的余弦值等于 ，的度数为?( ) 2o o o o(A)30 (B)45 (C)60 (D)90 o7.某市三月连续七天的日最高气温分别为21、18、22、24、22、20、19(单位:C)，这组数据的中位数、众数分别是( ) (A)22、21 (B)21、22 (C)21、20 (D)22、22 8.如图1，AB是?O的弦，半径OC?
3、AB于点D，且AB=6cm，OD=4cm，则?O的半径为( ) (A)3cm (B)4cm (C)5cm (D)6cm 9.一个立方体的体积为64，则这个立方体的棱长的算术平方根为( ) (A)?4 (B)4 (C)?2 (D)2 10.将一张边长分别为8、6的矩形纸片ABCD折叠，使点C与A重合，则折痕的长为( ) (A)6 (B)6.5 (C)7.5 (D)10 A D P O D A B B C C P 图1 图2 第二部分 非选择题(共120分) 二、填空题(本大题共6小题，每小题3分，满分18分) o11. ?A=32，则?A的补角等于 。 12.若二次根式x+2 有意义，则x的取值
4、范围为 。 13.a、b、c为同一平面内的三条直线，已知a?b，a?c，则直线b与c 的位置关系为 。 14.若a2+ma+9是完全平方式，则m= 。 15.一个多边形的内角和是其外角和的2倍，则这个多边形的边数为 。 16.如图2，P是正方形ABCD内一点，将?ABP绕点B顺时针旋转能与?CBP重合，若office, branch offices (jurisdiction), risk management, marketing management sector through supervision and inspection found problems, should be as
5、signed the investigators are corrected in a timely manner. 27th the fifth chapter penalty under any of the following acts, then the relevant provisions to punish the investigators, according to the Bank. To constitute a crime shall be investigated for criminal responsibility: (A) on the business tha
6、t are not involved in the investigation, issued a survey. (B) customer credit information are not thorough verification. (Iii) to participate in credit customer survey is not in place, customers and data is incomplete, untrue; he knows bear a counterfeited clients issuing credit. (D) does not provid
7、e for due diligence of credit business, pre-loan investigation form, concealing facts or providing false information or should be found in a normal investigation failed to discover the risk factors, lead to the review and approval policy errors, loan risk. (Five) on loan guarantees of survey not in
8、place, not by provides on arrived, and pledge real for field verification, and assessment, and identification and registration, not according to provides on guarantor of guarantees qualification and guarantees capacity for survey verified, led to guarantees loan lost authenticity, and legitimacy, an
9、d effectiveness of; cycle loan business in the of mortgage BP=3，则线段PP的长= 。 三、解答题(本大题共9小题，满分102分) 17.(本小题满分10分) 解下列不等式组，并把其解集在所给的数轴(图3)上表示出来: -3 -2 -1 0 1 2 3 18. (本小题满分10分) 已知，如图4，E、F分别是菱形ABCD的边AB、CD上的点，且AE=CF。 求证:DE=BF。 D F C C A E B 19. (本小题满分9分) 解方程: 20.(本小题满分10分) 图5与图6分别是某班今年中考体育选考项目统计图。请你根据图中提供
10、的信息，解答下列问题: office, branch offices (jurisdiction), risk management, marketing management sector through supervision and inspection found problems, should be assigned the investigators are corrected in a timely manner. 27th the fifth chapter penalty under any of the following acts, then the relevant
11、provisions to punish the investigators, according to the Bank. To constitute a crime shall be investigated for criminal responsibility: (A) on the business that are not involved in the investigation, issued a survey. (B) customer credit information are not thorough verification. (Iii) to participate
12、 in credit customer survey is not in place, customers and data is incomplete, untrue; he knows bear a counterfeited clients issuing credit. (D) does not provide for due diligence of credit business, pre-loan investigation form, concealing facts or providing false information or should be found in a
13、normal investigation failed to discover the risk factors, lead to the review and approval policy errors, loan risk. (Five) on loan guarantees of survey not in place, not by provides on arrived, and pledge real for field verification, and assessment, and identification and registration, not according
14、 to provides on guarantor of guarantees qualification and guarantees capacity for survey verified, led to guarantees loan lost authenticity, and legitimacy, and effectiveness of; cycle loan business in the of mortgage (1)本班学生共有 人; (2)计算该班参加铅球考试的人数，并补全统计图5; (3)在统计图6中，求出参加跳绳考试所对应的圆心角的度数。 铅球 18 三级 立定 1
15、4 蛙跳 跳远 10 实心球跳绳 8 80% 4 2 实心球 跳绳 立定跳远 铅球 三级跳 项目 21. ( 本小题满分10分) 图7是一间摄影展览厅，其东、西面各有一个入口A、B，南面为出口C，北面分别有两个出口D、E，摄影爱好者郑浩任选一个入口进入展览厅，参观结束后，任选一个出口离开。 (1)郑浩从进入到离开共有多少种可能的结果,请画出树形图; (2)求出郑浩从入口A进入展览厅并从北面出口离开的概率。 出口D 出口E 入口B 入口A 出口C 22.(本小题满分12分) m已知，如图8，一词函数y=kx+b的图象与反比例函数y= 的图象都经过点A(3，-2)和x点B(n，6)。 (1)n=
16、; y (2)求这两个函数解析式 (3)直接写出一次函数值大于反比例函数值的自变量x的取值范围。 B x O A 23.(本小题满分13分) 如图9，已知AB是?O的直径，C是?O上的一点，连结AC并延长至D，使CD=AC，连结BD，作CE?BD，垂足为E。 (1)线段AB与DB的大小关系为 ，请证明你的结论; 柏成教育网office, branch offices (jurisdiction), risk management, marketing management sector through supervision and inspection found 柏成家教网oblems,
17、 should be assigned the investigators are corrected in a timely manner. 27th the fifth chapter penalty under any of the following acts, then the relevant provisions to punish the investigators, according to the Bank. To constitute a crime shall be investigated for criminal responsibility: (A) on th
18、e business that are not involved in the investigation, issued a survey. (B) customer credit information are not thorough verification. (Iii) to participate in credit customer survey is not in place, customers and data is incomplete, untrue; he knows bear a counterfeited clients issuing credit. (D) d
19、oes not provide for due diligence of credit business, pre-loan investigation form, concealing facts or providing false information or should be found in a normal investigation failed to discover the risk factors, lead to the review and approval policy errors, loan risk. (Five) on loan guarantees of
20、survey not in place, not by provides on arrived, and pledge real for field verification, and assessment, and identification and registration, not according to provides on guarantor of guarantees qualification and guarantees capacity for survey verified, led to guarantees loan lost authenticity, and
21、legitimacy, and effectiveness of; cycle loan business in the of mortgage柏成题库网 (2)判断CE与?O的位置关系，并证明; (3)当?CED与四边形ACEB的面积比是1:7时，试判断?ABD的形状，并证明。 B O E D C A 24. (本小题满分14分) 2如图10，已知抛物线y=ax+bx+c的顶点A在x轴上，与y轴的交点B(0，-1)，且b=-4ac。 (1)求点A的坐标; (2)求抛物线的解析式 (3)在抛物线上是否存在一点C，使以BC为直径的圆经过抛物线的顶点A,若不存在请说明理由;若存在，求出点C的坐标，
22、并求出此时圆的圆心点,的坐标。 y A O x B (本小题满分14分) 25.如图11，D为ABC的AB边上一点，E为AC延长线上的一点，且CE=BD。 (1)当AB=AC时，求证:DEBC (2)当AB?AC时，DE与BC有何大小关系,给出结论，画出图形，并证明。 A D B C E office, branch offices (jurisdiction), risk management, marketing management sector through supervision and inspection found problems, should be assigned t
23、he investigators are corrected in a timely manner. 27th the fifth chapter penalty under any of the following acts, then the relevant provisions to punish the investigators, according to the Bank. To constitute a crime shall be investigated for criminal responsibility: (A) on the business that are no
24、t involved in the investigation, issued a survey. (B) customer credit information are not thorough verification. (Iii) to participate in credit customer survey is not in place, customers and data is incomplete, untrue; he knows bear a counterfeited clients issuing credit. (D) does not provide for du
25、e diligence of credit business, pre-loan investigation form, concealing facts or providing false information or should be found in a normal investigation failed to discover the risk factors, lead to the review and approval policy errors, loan risk. (Five) on loan guarantees of survey not in place, n
26、ot by provides on arrived, and pledge real for field verification, and assessment, and identification and registration, not according to provides on guarantor of guarantees qualification and guarantees capacity for survey verified, led to guarantees loan lost authenticity, and legitimacy, and effect
27、iveness of; cycle loan business in the of mortgage 参考答案及评分建议 一、选择题 题 号 , , , , , , , , , , 答 案 , , , , , , , , , , 二、填空题 题 号 , , , , , , 答 案 ?, 垂直 ?, 六 x148 , 2三、解答题 ,(本小题满分,分) 1,10 ,x,解: 2,321 x，,解?得 ?,，,分 x解?得 ,，,分 x?,，,分 ?不等式组的解集为:,x数轴表示为: ,分 ? 0 1 2 3 -3 -2 1 - 图1 ,(本小题满分,分) 证法一:?,为菱形，?,，?,?,(,分
28、 在?,和?,中， ADCB,，,，AC?，,分 ,AECF,?,?,(,),分 ?,(,分 证法二:?,为菱形，?,且,?,(,分 由,，得,，,分 即,，又,?,，,分 ?四边形,为平行四边形，,分 ?,(,分 ,(本小题满分,分) 213解: 原方程可化为:,分 x,1(1)(1)xx，,(1)(1)xx，,柏成教育网office, branch offices (jurisdiction), risk management, marketing management sector through supervision and inspection found 柏成家教网oblems
29、, should be assigned the investigators are corrected in a timely manner. 27th the fifth chapter penalty under any of the following acts, then the relevant provisions to punish the investigators, according to the Bank. To constitute a crime shall be investigated for criminal responsibility: (A) on t
30、he business that are not involved in the investigation, issued a survey. (B) customer credit information are not thorough verification. (Iii) to participate in credit customer survey is not in place, customers and data is incomplete, untrue; he knows bear a counterfeited clients issuing credit. (D)
31、does not provide for due diligence of credit business, pre-loan investigation form, concealing facts or providing false information or should be found in a normal investigation failed to discover the risk factors, lead to the review and approval policy errors, loan risk. (Five) on loan guarantees of
32、 survey not in place, not by provides on arrived, and pledge real for field verification, and assessment, and identification and registration, not according to provides on guarantor of guarantees qualification and guarantees capacity for survey verified, led to guarantees loan lost authenticity, and
33、 legitimacy, and effectiveness of; cycle loan business in the of mortgage柏成题库网 ，,)(,)，,分 方程两边同乘以(xx得:,(，,),分 x解得,分 x检验:当,时，(，,)(,),，,分 xxx?,是增根，原方程无解(,分 x,(本小题满分,分) 解:(,) , ;,分 (,),(人),分 ?该班参加铅球考试的人数为,人(图略);,分 (,),?,.,，,分 ,?,.,?，,分 ?参加跳绳考试部分所对应的圆心角的度数为,.,?(,分 ,(本小题满分,分) 解:(,)树形图如图,: 入口A 入口B ,分 出 出 出
34、 出 出 出 口 口 口 口 口 口 C D E C D E 图2 ?所有可能的结果有,种;,分 (,)设郑浩从入口,进入展览厅并从北面出口离开的概率是,， 2则,分 61,(,分 3,(本小题满分,分) 解:(,), , ;,分 nmy(,)?函数,的图象经过点,， xy?,时，,，?,(,),，,分 xm6y?反比例函数的解析式为:,;,分 x6y?函数,图象经过,(n，,)， xyxnn当,时，,，从而得,，,分 即点,的坐标为,(,，,)(,分 kxby由一次函数,，的图象经过,、,两点，可得: 32kb，,，,分 ,，,kb6,office, branch offices (juri
35、sdiction), risk management, marketing management sector through supervision and inspection found problems, should be assigned the investigators are corrected in a timely manner. 27th the fifth chapter penalty under any of the following acts, then the relevant provisions to punish the investigators,
36、according to the Bank. To constitute a crime shall be investigated for criminal responsibility: (A) on the business that are not involved in the investigation, issued a survey. (B) customer credit information are not thorough verification. (Iii) to participate in credit customer survey is not in pla
37、ce, customers and data is incomplete, untrue; he knows bear a counterfeited clients issuing credit. (D) does not provide for due diligence of credit business, pre-loan investigation form, concealing facts or providing false information or should be found in a normal investigation failed to discover
38、the risk factors, lead to the review and approval policy errors, loan risk. (Five) on loan guarantees of survey not in place, not by provides on arrived, and pledge real for field verification, and assessment, and identification and registration, not according to provides on guarantor of guarantees
39、qualification and guarantees capacity for survey verified, led to guarantees loan lost authenticity, and legitimacy, and effectiveness of; cycle loan business in the of mortgage k,2,解得(,分 ,b,4,?一次函数的解析式为:,，,;,分 yx(,),或,(,分 xx,(本小题满分,分) 解:(,)线段,(,分 证明如下: 连结,(如图,)(?,是?,的直径， ?,?，即,?,(,分 又?,，?,垂直平分线段,，,
40、分 ?,; (,),是?,的切线(,分 证明如下: 连结,(如图,)( ?点,为,的中点，点,为,的中点， ?,为?,的中位线，?,?,(,分 又?,?,，?,?,，?,是?,的切线;,分 (,)?,为等边三角形(,分 证明如下: S7四边形ACEB由,， 1S,CEDSS，71，,CED四边形ACEB得,，,分 1S,CED8S,ABD?,，,分 1S,CED111SSS,CED,CED,CED即,，?,，,， 8842SSS,BCD,ABD,BCD?,?,，?,?,?，?,?,， 1CD1CDSCD22,CED()()?,，即,，?,，,分 4BD2BDBDS,BCD1在,t?,中，?,，
41、 2?,?，?,?，又?,，,分 ?,为等边三角形( B BOEOED柏成教育网office, branch offices (jurisdiction), risk management, marketing management sector through supervision and inspection found 柏成家教网oblems, should be assigned the investigators are corrected in a timely manner. 27th the fifth chapter penalty under any of the f
42、ollowing acts, then the relevant provisions to punish the investigators, according to the Bank. To constitute a crime shall be investigated for criminal responsibility: (A) on the business that are not involved in the investigation, issued a survey. (B) customer credit information are not thorough v
43、erification. (Iii) to participate in credit customer survey is not in place, customers and data is incomplete, untrue; he knows bear a counterfeited clients issuing credit. (D) does not provide for due diligence of credit business, pre-loan investigation form, concealing facts or providing false inf
44、ormation or should be found in a normal investigation failed to discover the risk factors, lead to the review and approval policy errors, loan risk. (Five) on loan guarantees of survey not in place, not by provides on arrived, and pledge real for field verification, and assessment, and identification and registration, not according to provides on guarantor of guarantees qualification and guarantees capacity for survey verified, led to guarantees loan lost authenticity, and legitimacy, and effectiveness of; cycle loan business in the