无锡书一初三复读学校 2016中考 数学模拟 (16)

无锡书一初三复读学校 2016中考 数学模拟 (16) 初三年级中考模拟考试 数学试 本试卷分和答题卡两部分，所有答案一律写在答题卡上(考试时间为120分钟(试卷满分130分( 注意事项: 1(答卷前，考生务必用0.5毫米黑色墨水签字笔将自己的姓名、准考证号填写在答题卡的相应位置上，并认真核对条形码上的姓名、准考证号是否与本人的相符合( 2(答选择题必须用2B铅笔将答题卡上对应题目中的选项标号涂黑(如需改动，请用橡皮擦干净后，再选涂其他答案(答非选择题必须用0.5毫米黑色墨水签字笔作答，写在答题卡上各题目指定区域内相应的位置，在其他位置答题一律无效( 3(作图必须用2B铅笔作答，并请加黑加粗，描写清楚( 4(卷中除要求近似计算的结果取近似值外，其他均应给出精确结果( 一、选择题:本大题共10小题，每小题3分，共30分(在每小题给出的四个选项中，恰有一项是符(((( 合题目要求的，请将正确选项的序号填写在题答题卡的相应的括号内( 1(的绝对值是 ( ? ) ,2 11A( B( C( D(2( ,,222 2(使3x-1 有意义的x的取值范围是 ( ? ) 1111 A(x >, B(x > C(x ? D(x ?, 3333 3(右图是由4个相同的小正方体组成的几何体，其俯视图为 ( ? ) A( B( C( D( 第3题图 4(为丰富学生课余活动，某校开展校园艺术节十佳歌手比赛，共有18名同学入围，他们的决赛成绩如下 : 成绩(分) 9.40 9.50 9.60 9.70 9.80 9.90 人数 2 3 5 4 3 1 则入围同学决赛成绩的中位数和众数分别是 ( ? ) A(9.70，9.60 B(9.60，9.60 C(9.60，9.70 D(9.65，9.60 mxx,,125(关于x的方程的解为正实数，则m的取值范围是 A(m?2 B(m?2 C(m,2 D(m,2 6(在以下绿色食品、回收、节能、节水四个标志中，是轴对称图形的是( ? ) A( B( C( D( anti-Japanese patriotism. Under the influence of the party, Zhu, Wang, acting in strict discipline, political, military quality and combat effectiveness has improved. As well as youth service corps, women's service and young pioneers, countryside-Japanese performance, posting anti-Japanese slogans, operate private schools, literacy classes, founder of the iron, and the tongue and the sound, sparks and other anti-Japanese mimeographed tabloid, actively promote anti-Japanese. Hanchang recovery after the party, that is, "Jiangnan anti-Japanese guerrilla people save," Shen Yingjie, Xu Azhen to participate in development of the Chinese Communist Party, in October and set up a water party group in Hong Kong, Han chang long party group. Meanwhile, Xu on cleaning two wannan, demanding new army deployed cadres, and have sent many new progressive youth to receive training. On November 9, sheng, Wu Xing, Nanxun, jiaxing, Tongxiang, Zonta, Hangzhou, wukang strongholds such as Elves, nearly all men, together with the aircraft, boats, Zhu Xi Lu, pouncing on troop locations. 10th, the enemies have invaded yan Tomb, Xin Cheng, Wuzhen. 11th, Zhu Xi army pier at Bell House was surrounded by the enemy, break, casualties will be great, CPC party member Xu, Xu Quansheng, really so magnificent and head of three Wang Yulin, also died in the battle. Zhu Xi withdrew the remnants of more than 400 people back to Xiao Feng integration. Jie Xu with the new cadres, Communist party Mr CHOW (Zhou kangyu) came from southern Anhui. Zhu Xi Wei CHOY for staff officers. The end of unified leadership 7(下列命题中，假命题是 ( ? ) A(经过两点有且只有一条直线 B(平行四边形的对角线相等 C(两腰相等的梯形叫做等腰梯形 D(圆的切线垂直于经过切点的半径 8(下列函数的图像在每一个象限内，值随值的增大而增大的是 ( ? ) xy 112A( B( C( D( yx,,，1y,y,,yx,,1xx 9(如图正方形ABCD的边长为2，点E、F、G、H分别在AD、AB、BC、CD上的点，且AE=BF=CG=DH，分别将?AEF、?BFG、?CGH、?DHE沿EF、FG、GH、HE翻折，得四边形MNKP，设AE=x，S四边 =y，则y关于x的函数图像大致为 ( ) 形MNKP E D A y y y y M H 4 4 P 4 4 2 2 2 N 2 F K x x x x C O B O O G O 1 1 1 1 D( B( C( A( 10、直线分别与x轴、y轴相交与点M、N，边长为2的正y,x，4y 方形OABC一个顶点O在坐标系的原点，直线AN与MC相交与点N P，若正方形绕着点O旋转一周，则点P到点(0，2)长度的最小P C B 值是 ( ? ) x 22,23,22A( B( M O A 第10题图 25C( D(1 5 二、填空题(本大题共8小题，每小题2分，共16分，不需要写出解答过程，请把答案填写在答题卡 的相应位置的横线上) 311(因式分解:x—4x= ? ( 12(某外贸企业为参加2016年中国江阴外贸洽谈会，印制了105 000张宣传彩页(105 000这个数字用科学 记数法表示为 ? ( 213(若x，x是方程x+2x—3=0的两根，则x+x ? ( 1212= 14(如图，已知菱形ABCD的边长为5，对角线AC，BD相交于点O，BD=6，则菱形ABCD的面积为 ? ( 15(如图，一个边长为4cm的等边三角形的高与ABC与?O直径相等，?O与BC相切于点C，?O与AC 相交于点E，则CE的长为 ? ( 16(某商店服装销量较好，于是将一件原标价为1200元的服装加价200元销售仍畅销，在这基础上又涨了 10%(现商家决定要回复原价，采用连续两次降价，每次降价的百分率相同的方法，则每次降价的百 分率为 ? (精确到1%)( anti-Japanese patriotism. Under the influence of the party, Zhu, Wang, acting in strict discipline, political, military quality and combat effectiveness has improved. As well as youth service corps, women's service and young pioneers, countryside-Japanese performance, posting anti-Japanese slogans, operate private schools, literacy classes, founder of the iron, and the tongue and the sound, sparks and other anti-Japanese mimeographed tabloid, actively promote anti-Japanese. Hanchang recovery after the party, that is, "Jiangnan anti-Japanese guerrilla people save," Shen Yingjie, Xu Azhen to participate in development of the Chinese Communist Party, in October and set up a water party group in Hong Kong, Han chang long party group. Meanwhile, Xu on cleaning two wannan, demanding new army deployed cadres, and have sent many new progressive youth to receive training. On November 9, sheng, Wu Xing, Nanxun, jiaxing, Tongxiang, Zonta, Hangzhou, wukang strongholds such as Elves, nearly all men, together with the aircraft, boats, Zhu Xi Lu, pouncing on troop locations. 10th, the enemies have invaded yan Tomb, Xin Cheng, Wuzhen. 11th, Zhu Xi army pier at Bell House was surrounded by the enemy, break, casualties will be great, CPC party member Xu, Xu Quansheng, really so magnificent and head of three Wang Yulin, also died in the battle. Zhu Xi withdrew the remnants of more than 400 people back to Xiao Feng integration. Jie Xu with the new cadres, Communist party Mr CHOW (Zhou kangyu) came from southern Anhui. Zhu Xi Wei CHOY for staff officers. The end of unified leadership y F DA B E E E C AF CN P O O B A B C D BM x A O 第14题图 第15题图 第17题图 第18题图 17、两个完全重合的直角三角形Rt?ABC与Rt?DEF两直角边分别为3cm、4cm，点D放置在AB的中点， ?DEF可以绕点D转动，当Rt?DEF旋转到一边与AB垂直时，两三角形重叠部分面积为 ? ( 218、如图，直线交x轴、y轴于A、B两点，P是反比例函数y, 图象上位于直线下y,4,x(x,0)x 方的一点，过点P作x轴的垂线，垂足为点M，交AB于点E，过点P作y轴的垂线，垂足为点N，交 AB于点F，则AF?BE= ? ( 三、解答题(本大题共10小题，共84分(请在答题卡题目下方空白处作答，解答时应写出文字说明、((((((( 证明过程或演算步骤) 19((本小题满分8分)计算 122(1)tan45º,(,2),|| (2)(2x,1)+(x,2)(x+2),4x(x,) 2,22 20((本题满分8分) x,3(x,2)?4，,1x(1)解方程: = 2+ (2) 解不等式组:1+2x ,x,33,x,x,1(,3 21((本题满分8分) 如图，在?ABCD中，E、F为对角线BD上的两点( (1)若AE?BD，CF?BD，证明BE,DF( (2)若AE,CF，能否说明BE,DF,若能，请说明理由;若不能，请画出反例说明( A A D D F E B B C C (备用图) anti-Japanese patriotism. Under the influence of the party, Zhu, Wang, acting in strict discipline, political, military quality and combat effectiveness has improved. As well as youth service corps, women's service and young pioneers, countryside-Japanese performance, posting anti-Japanese slogans, operate private schools, literacy classes, founder of the iron, and the tongue and the sound, sparks and other anti-Japanese mimeographed tabloid, actively promote anti-Japanese. Hanchang recovery after the party, that is, "Jiangnan anti-Japanese guerrilla people save," Shen Yingjie, Xu Azhen to participate in development of the Chinese Communist Party, in October and set up a water party group in Hong Kong, Han chang long party group. Meanwhile, Xu on cleaning two wannan, demanding new army deployed cadres, and have sent many new progressive youth to receive training. On November 9, sheng, Wu Xing, Nanxun, jiaxing, Tongxiang, Zonta, Hangzhou, wukang strongholds such as Elves, nearly all men, together with the aircraft, boats, Zhu Xi Lu, pouncing on troop locations. 10th, the enemies have invaded yan Tomb, Xin Cheng, Wuzhen. 11th, Zhu Xi army pier at Bell House was surrounded by the enemy, break, casualties will be great, CPC party member Xu, Xu Quansheng, really so magnificent and head of three Wang Yulin, also died in the battle. Zhu Xi withdrew the remnants of more than 400 people back to Xiao Feng integration. Jie Xu with the new cadres, Communist party Mr CHOW (Zhou kangyu) came from southern Anhui. Zhu Xi Wei CHOY for staff officers. The end of unified leadership 22((本小题满分6分)为了解江阴市七年级学生身体素质，从全市七年级学生中随机抽取部分学生进行了 一次体育考试科目的测试(把测试结果分为四个等级:A级:优秀;B级:良好;C级:及格;D级: 不及格)，并将测试记录绘成如下两幅完全不同的统计图(请根据统计图中的信息解答下列问题: (1)本次抽样测试的学生数是 ; (2)图1中?n的度数是 (把图2条形统计图补充完成; (3)江阴市七年级共有9800名学生，如果全部参加这次体育科目测试，请估计不及格的人数( 体育测试各等级学生人数扇形统计图 体育测试各等级学生人数条形统计图 人数 16 16 14 B级 14 12 35% 10 n A级 8 6 C级 4 D 2 20% 2 等级 级 0 A级 B级 C级 D级 图1 图2 23((本小题满分6分) 某市的体育中考采取抽签决定考试项目，有甲、乙、丙三人分别擅长A:游泳;B:50米;C:1000 )求学生甲能抽到自己的喜欢的项目的概率;(2)如果甲乙丙三人在米(假设就这三个项目研究)((1 抽签时箱内只有三个A、B、C不同项目的签，且各自抽签后将考签交给监考老师，求三人至少有一人 抽到自己擅长项目的概率( 24((本题满分8分)“位似变化”是一种重要的几何变化，可以将图形放大或缩小，且与原图形相似(你 能用位似变化解决下列问题吗, 如图Rt?ABC中，?C=90?AC=12，BC=6，B 有矩形EFGH的一边EF在边AC上，点H在斜 边AB上，EF=2、HE=1( (1)请你用圆规和无刻度直尺在Rt?ABC 内作一个最大的矩形且与矩形EFGH位似((不 H G 要求写做法，但必须保留作图痕迹) (2)请证明你作图方法的正确性( A E F C (3)求最大矩形与矩形EFGH的面积之比( anti-Japanese patriotism. Under the influence of the party, Zhu, Wang, acting in strict discipline, political, military quality and combat effectiveness has improved. As well as youth service corps, women's service and young pioneers, countryside-Japanese performance, posting anti-Japanese slogans, operate private schools, literacy classes, founder of the iron, and the tongue and the sound, sparks and other anti-Japanese mimeographed tabloid, actively promote anti-Japanese. Hanchang recovery after the party, that is, "Jiangnan anti-Japanese guerrilla people save," Shen Yingjie, Xu Azhen to participate in development of the Chinese Communist Party, in October and set up a water party group in Hong Kong, Han chang long party group. Meanwhile, Xu on cleaning two wannan, demanding new army deployed cadres, and have sent many new progressive youth to receive training. On November 9, sheng, Wu Xing, Nanxun, jiaxing, Tongxiang, Zonta, Hangzhou, wukang strongholds such as Elves, nearly all men, together with the aircraft, boats, Zhu Xi Lu, pouncing on troop locations. 10th, the enemies have invaded yan Tomb, Xin Cheng, Wuzhen. 11th, Zhu Xi army pier at Bell House was surrounded by the enemy, break, casualties will be great, CPC party member Xu, Xu Quansheng, really so magnificent and head of three Wang Yulin, also died in the battle. Zhu Xi withdrew the remnants of more than 400 people back to Xiao Feng integration. Jie Xu with the new cadres, Communist party Mr CHOW (Zhou kangyu) came from southern Anhui. Zhu Xi Wei CHOY for staff officers. The end of unified leadership 25、(本小题满分10分)公司研究销售策略，如果销售10台A型和20台B型空气净化器的利润为4000元， 销售20台A型和10台B型空气净化器的利润为3500元( (1)求每台A型空气净化器和B型空气净化器的销售利润; (2)该公司一次购进两种型号的空气净化器共100台，其中B型空气净化器的进货量不超过A型空气 净化器的2倍，设购进A型空气净化器x台，这100台空气净化器的销售总利润为y元( ?求y关于x的函数关系式; ?该公司购进A型、B型空气净化器各多少台，才能使销售总利润最大, (3)实际进货时，厂家对A型空气净化器出厂价下调m(0,m,100)元，且限定公司最多购进A型空气 净化器70台，若公司保持同种空气净化器的售价不变，请你根据以上信息及(2)中条件，设计出使 这100台空气净化器销售总利润最大的进货( 26.(本小题满分10分)如图，在平面直角坐标系中，O为坐标原点，?ABC的边BC在y轴的正半轴上， 点A在x轴的正半轴上，点C的坐标为(0，8)，将?ABC沿直线AB折叠，点C落在x轴的负半 轴D(?4，0)处( (1)求直线AB的解析式; 45(2)点P从点A出发以每秒个单位长度的速度沿射线AB方向运动，过点P作PQ?AB，交x轴于 点Q，PR?AC交x轴于点R，设点P运动时间为t(秒)，线段QR长为d，求d与t的函数关系式 (不要求写出自变量t的取值范围); (3)在(2)的条件下，点N是射线AB上一点，以点N为圆心，同时经过R、Q两点作?N，?N交y轴 于点E，F(是否存在t，使得EF=RQ,若存在，求出t的值，并求出圆心N的坐标;若不存在，说明 理由( y y C C B B O O D D x x 备用图 anti-Japanese patriotism. Under the influence of the party, Zhu, Wang, acting in strict discipline, political, military quality and combat effectiveness has improved. As well as youth service corps, women's service and young pioneers, countryside-Japanese performance, posting anti-Japanese slogans, operate private schools, literacy classes, founder of the iron, and the tongue and the sound, sparks and other anti-Japanese mimeographed tabloid, actively promote anti-Japanese. Hanchang recovery after the party, that is, "Jiangnan anti-Japanese guerrilla people save," Shen Yingjie, Xu Azhen to participate in development of the Chinese Communist Party, in October and set up a water party group in Hong Kong, Han chang long party group. Meanwhile, Xu on cleaning two wannan, demanding new army deployed cadres, and have sent many new progressive youth to receive training. On November 9, sheng, Wu Xing, Nanxun, jiaxing, Tongxiang, Zonta, Hangzhou, wukang strongholds such as Elves, nearly all men, together with the aircraft, boats, Zhu Xi Lu, pouncing on troop locations. 10th, the enemies have invaded yan Tomb, Xin Cheng, Wuzhen. 11th, Zhu Xi army pier at Bell House was surrounded by the enemy, break, casualties will be great, CPC party member Xu, Xu Quansheng, really so magnificent and head of three Wang Yulin, also died in the battle. Zhu Xi withdrew the remnants of more than 400 people back to Xiao Feng integration. Jie Xu with the new cadres, Communist party Mr CHOW (Zhou kangyu) came from southern Anhui. Zhu Xi Wei CHOY for staff officers. The end of unified leadership 27、(本小题满分10分)?ABC中，AB=5，AC=4，BC=6. CD(1)如图1，若AD是?BAC的平分线，DE?AB，求CE的长与的比值; BD (2)如图2，将边AC折叠，使得AC在AB边上，折痕为AM，再将边MB折叠，使得MB’与MC’重合， 折痕为MN，求AN的长( C C M D E A B C’B N A 图1 B’ 图2 228.(本小题满分10分)如图，二次函数的图像过A(6，0)、C(0，-3)(且抛物线的对y,ax，bx，c x,2称轴为直线，抛物线与x轴的另一个交点为B( (1)求抛物线的解析式; 1(2)若点F在第四象限的抛物线上，当tan?FAC=时，求点F的坐标( 2 (3)若点P在第四象限的抛物线，且满足?PAC和?PBC的面积相等(是否能在抛物线上找点Q，使得 ?PAQ=?CAO，求点Q的坐标( y y A A B B O O x x C C 备用图 anti-Japanese patriotism. Under the influence of the party, Zhu, Wang, acting in strict discipline, political, military quality and combat effectiveness has improved. As well as youth service corps, women's service and young pioneers, countryside-Japanese performance, posting anti-Japanese slogans, operate private schools, literacy classes, founder of the iron, and the tongue and the sound, sparks and other anti-Japanese mimeographed tabloid, actively promote anti-Japanese. Hanchang recovery after the party, that is, "Jiangnan anti-Japanese guerrilla people save," Shen Yingjie, Xu Azhen to participate in development of the Chinese Communist Party, in October and set up a water party group in Hong Kong, Han chang long party group. Meanwhile, Xu on cleaning two wannan, demanding new army deployed cadres, and have sent many new progressive youth to receive training. On November 9, sheng, Wu Xing, Nanxun, jiaxing, Tongxiang, Zonta, Hangzhou, wukang strongholds such as Elves, nearly all men, together with the aircraft, boats, Zhu Xi Lu, pouncing on troop locations. 10th, the enemies have invaded yan Tomb, Xin Cheng, Wuzhen. 11th, Zhu Xi army pier at Bell House was surrounded by the enemy, break, casualties will be great, CPC party member Xu, Xu Quansheng, really so magnificent and head of three Wang Yulin, also died in the battle. Zhu Xi withdrew the remnants of more than 400 people back to Xiao Feng integration. Jie Xu with the new cadres, Communist party Mr CHOW (Zhou kangyu) came from southern Anhui. Zhu Xi Wei CHOY for staff officers. The end of unified leadership 数学参考答案 一、选择题(每小题3分，共30分) 1(D 2(B 3(C 4(B 5(C 6(A 7(B 8(D 9(C 10(A 二、填空题(每小题2分，共16分) 511(x(x+2)(x-2) 12(1.05×10 13(?2 14(24 27692515( 16(11.7% 17(、、 18(4 23163212 三、解答题(10小题，共94分) 219((1) (2) 20((1)x=7 (2)1?x,4 21((1)证明略(2)不能 x,2x,3,5，2 ADFF' 反例图 EBC 22((1)40 (2)144 C级对应的数字为8 (3)490 11923((1) 2分 (2) 3分 327 24((1)作?C的平分线AB于点D 3分 (2)证略 2分 (3)16:1 3分 ((1)每台A型空气净化器销售利润为100元，每台B型空气净化器的销售利润为150元; 3分 25 (2)?y=,50x+15000;?购进34台A型空气净化器和66台B型空气净化器的利润最大; 4分 (3)购进70台A型空气净化器和30台B型空气净化器的销售利润最大( 3分 1y,,x，326((1) 3分 2 (2)d=5t 3分 88(3)故当 t=，或，时，QR=EF，N(-6，6)或(2，2)( 4分 515 20CD4,27((1)CE=， 5分 9BD5 40(2) 5分 9 12y,x,x,3、(1)28 2分 4 1032,(2)F(，) 4分 39 2160,,(3)P(4，?3)，Q() 4分 1749 anti-Japanese patriotism. Under the influence of the party, Zhu, Wang, acting in strict discipline, political, military quality and combat effectiveness has improved. As well as youth service corps, women's service and young pioneers, countryside-Japanese performance, posting anti-Japanese slogans, operate private schools, literacy classes, founder of the iron, and the tongue and the sound, sparks and other anti-Japanese mimeographed tabloid, actively promote anti-Japanese. Hanchang recovery after the party, that is, "Jiangnan anti-Japanese guerrilla people save," Shen Yingjie, Xu Azhen to participate in development of the Chinese Communist Party, in October and set up a water party group in Hong Kong, Han chang long party group. Meanwhile, Xu on cleaning two wannan, demanding new army deployed cadres, and have sent many new progressive youth to receive training. On November 9, sheng, Wu Xing, Nanxun, jiaxing, Tongxiang, Zonta, Hangzhou, wukang strongholds such as Elves, nearly all men, together with the aircraft, boats, Zhu Xi Lu, pouncing on troop locations. 10th, the enemies have invaded yan Tomb, Xin Cheng, Wuzhen. 11th, Zhu Xi army pier at Bell House was surrounded by the enemy, break, casualties will be great, CPC party member Xu, Xu Quansheng, really so magnificent and head of three Wang Yulin, also died in the battle. Zhu Xi withdrew the remnants of more than 400 people back to Xiao Feng integration. Jie Xu with the new cadres, Communist party Mr CHOW (Zhou kangyu) came from southern Anhui. Zhu Xi Wei CHOY for staff officers. The end of unified leadership