2022年2018青岛市中考数学试题 .pdf
青岛市二一八年初中学业水平考试数 学 试 题说明：（考试时间：120 分钟；满分：120 分）1.本试题分第 卷和第 卷两部分，共24 题 第卷 18 题为选择题，共24 分；第卷 914 题为填空题，15 题为作图题，1624 题为解答题，共96 分2.所有题目均在答题卡上指定区域内作答，在试题上作答无效第卷（共 24 分）一、选择题：本大题共8 小题，每小题3 分，共 24 分在每小题给出的四个选项中，只有一项是符合题目要求的1.观察下列四个图形，中心对称图形是A B C D 2.斑叶兰被列为国家二级保护植物，它的一粒种子重约0.0000005 克将 0.0000005 用科学记数法表示为A 5 107B 5 107C 0.5 106D 5 1063.如图，点A 所表示的数的绝对值是A7 6 5 4 3 2 1 0 1 2 3 4 5（第 3 题）A 3 B3 C.13D.134计算(a2)3 5a3 a3A.a5 5a6的结果是B.a6 5a9C.4a6D.4a65.如图，点 A、B、C、D 在 O 上，AOC140，点 B 是AC 的中点，则D 的度数是A 70B 55C 35.5D 35 A B D（第5 题）A B C F（第 6 题）6.如图，三角形纸片ABC，AB AC，BAC 90，点 E 为 AB 中点 沿过点 E 的直线折叠，使点 B 与点 A 重合，折痕EF 交 BC 于点 F，已知 EF 3，则 BC 的长是2AB 3 C 3 D 3 7.如图，将线段AB 绕点 P 按顺时针方向旋转90，得到线段A B，其中点A、B 的对应点分别是点A、B，则点 A 的坐标是A（-1,3）B（4,0）C（3,-3）D（5,-1）8.已知一次函数y b x c 的图象如图，则二次函数y ax2 bx c 在平面直角坐标系中的a图象可能是y O x（第 8 题）A B C D 文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8甲乙第卷（共96 分）二、填空题：本大题共6 小题，每小题3 分，共18 分数据9.已知甲、乙两组数据的折线图如图，设76 甲、乙两组数据的方差分别为S 2则 S 2 S 2、S 2 ，54 甲乙3（填“”、“=”、“”）2 1 0 1 2 3 4 5 6 序号（第 9 题）10计算：21 2 cos 3011.5 月份，甲、乙两个工厂用水量共为200 吨 进入夏季用水高峰期后，两工厂积极响应国家号召，采取节水措施 6 月份，甲工厂用水量比5 月份减少了 15%，乙工厂用水量比 5 月份减少了 10%，两个工厂6 月份用水量共为174 吨，求两个工厂5 月份的用水量各是多少 设甲工厂5 月份用水量为x 吨，乙工厂5 月份用水量为y 吨，根据题意列关于 x，y 的方程组为12.已知正方形ABCD 的边长为5，点 E、F 分别在 AD、DC 上，AE DF 2，BE 与AF 相交于点 G，点 H 为 BF 的中点，连接GH，则 GH 的长为AE D G AF O H F BC（第 12 题）CB E（第 13 题）13.如图，Rt ABC，B 90，C 30，O 为 AC 上一点，OA 2，以 O 为圆心，以OA 为半径的圆与CB 相切于点E，与 AB 相交于点F，连接 OE、OF，则图中阴影部分的面积是14.一个由 16 个完全相同的小立方块搭成的几何体，其最下面一层摆放了9 个小立方块，它的主视图和左视图如图所示，那么这个几何体的搭法共有种主视图左视图（第 14 题）文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8三、作图题：本大题满分 4 分请用直尺、圆规作图，不写作法，但要保留作图痕迹15.已知：如图，ABC，射线 BC 上一点 D 求作：等腰PBD，使线段BD 为等腰PBD 的底边，点P 在ABC 内部，且点P 到ABC 两边的距离相等A.CB D四、解答题：本大题共9 小题，共74 分16（本题每小题4 分，共 8 分）x 2 1,（1）解不等式组：3 2x 16 14；（2）化简：(x2 1 x 2)x x2 1 17（本小题满分6 分）小明和小亮计划暑期结伴参加志愿者活动小明想参加敬老服务活动，小亮想参加文明礼仪宣传活动他们想通过做游戏来决定参加哪个活动，于是小明设计了一个游戏，游戏规则是：在三张完全相同的卡片上分别标记4、5、6 三个数字，一人先从三张卡片中随机抽出一张，记下数字后放回，另一人再从中随机抽出一张，记下数字，若抽出的两张卡片标记的数字之和为偶数，则按照小明的想法参加敬老服务活动，若抽出的两张卡片标记的数字之和为奇数，则按照小亮的想法参加文明礼仪宣传活动你认为这个游戏公平吗？请说明理由文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V818（本小题满分6分）八年级（1）班研究性学习小组为研究全校同学课外阅读情况，在全校随机邀请了部分同学参与问卷调查，统计同学们一个月阅读课外书的数量，并绘制了以下统计图人数30 25 20 15 10 85 2学生阅读课外书情况条形统计图25 20 18 12 10 学生阅读课外书情况扇形统计图男生女生0 1 本2 本3 本4 本本数请根据图中信息解决下列问题：（1）共有名同学参与问卷调查；（2）补全条形统计图和扇形统计图；（3）全校共有学生 1500 人，请估计该校学生一个月阅读2 本课外书的人数约为多少19（本小题满分6 分）某区域平面示意图如图，点O 在河的一侧，AC 和 BC 表示两条互相垂直的公路甲勘测员在 A 处测得点 O 位于北偏东45，乙勘测员在B 处测得点 O 位于南偏西73.7，测得AC 840m，BC 500m 请求出点 O 到 BC 的距离 参考数据：sin73.724,cos73.77 ,tan73.72425 25 7 北B A C（第 19 题）文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V820（本小题满分8分）已知反比例函数的图象经过三个点A（-4,-3）、B（2m,y1）、C（6m,y2），其中 m0（1）当 y1 y2 4 时，求 m 的值；（2）如图，过点B、C 分别作 x 轴、y 轴的垂线，两垂线相交于点D，点 P 在 x 轴上，若三角形 PBD 的面积是8，请写出点 P 坐标（不需要写解答过程）D B（第 20 题）21（本小题满分8 分）（第 21 题）已知：如图，ABCD，对角线AC 与 BD 相交于点 E，点 G 为 AD 的中点，连接CG，CG 的延长线交BA 的延长线于点F，连接FD（1）求证：AB AF；（2）若 AG AB,BCD 120，判断四边形ACDF 的形状，并证明你的结论22（本小题满分10 分）某公司投入研发费用80 万元（80 万元只计入第一年成本），成功研发出一种产品公司按订单生产（产量=销售量），第一年该产品正式投产后，生产成本为6 元/件 此产品年销售量y（万件）与售价x（元/件）之间满足函数关系式y x 26（1）求这种产品第一年的利润W1（万元）与售价x（元/件）满足的函数关系式；（2）该产品第一年的利润为20 万元，那么该产品第一年的售价是多少？（3）第二年，该公司将第一年的利润20 万元（20 万元只计入第二年成本）再次投入研发，使产品的生产成本降为5 元/件为保持市场占有率，公司规定第二年产品售价不超过第一年的售价，另外受产能限制，销售量无法超过12 万件 请计算该公司第二年的利润W2 至少为多少万元文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V823（本小题满分10 分）问题提出：用若干相同的一个单位长度的细直木棒，按照下图方式搭建一个长方体框架，探究所用木棒条数的规律问题探究：我们先从简单的问题开始探究，从中找出解决问题的方法探究一用若干木棒来搭建横长是m，纵长是 n 的矩形框架(m、n 是正整数)，需要木棒的条数 如图，当m 1，n 1 时，横放木棒为1 (1 1)条，纵放木棒为(1 1)1 条，共需 4 条；如图，当m 2，n 1 时，横放木棒为2 (1 1)条，纵放木棒为(2 1)1 条，共需 7 条；如图，当m 2，n 2 时，横放木棒为2 (2 1)条，纵放木棒为(2 1)2 条，共需 12 条；如图，当m 3，n 1 时，横放木棒为3 (1 1)条，纵放木棒为(3 1)1 条，共需 10 条；如图，当m 3，n 2 时，横放木棒为3 (2 1)条，纵放木棒为(3 1)2 条，共需 17 条 图图图图图 问题（一）：当 m4，n2时，共需木棒条问题（二）：当矩形框架横长是m，纵长是 n时，横放的木棒为条，纵放的木棒为条 探究二用若干木棒来搭建横长是m，纵长是 n，高是 s 的长方体框架(m、n、s 是正整数)，需要木棒的条数 如图，当 m 3，n 2，s 1 时，横放与纵放木棒之和为3 (2 1)(3 1)2(1 1)34条，竖放木棒为(3 1)(2 1)1 12 条，共需 46 条；如图，当 m 3，n 2，s 2 时，横放与纵放木棒之和为3 (2 1)(3 1)2(2 1)51条，竖放木棒为(3 1)(2 1)2 24 条，共需 75 条；如图，当m 3，n 2，s 3 时，横放与纵放木棒之和为3 (2 1)(3 1)2(3 1)68条，竖放木棒为(3 1)(2 1)3 36 条，共需 104 条图图图文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE10C2W5R6W2 ZL7S4Y3S3V8文档编码:CR6O8V3C2C4 HE1
