(完整版)2015年河北省中考数学试题及答案,推荐文档.pdf

1 2015 年河北省初中毕业生升学文化课考试数学试卷一、选择题(本大题共 16 个小题，110 小题，每小题 3 分；1116 小题，每小题 2 分，共42 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.计算：)1(23 ()A.5 B.1 C.1 D.6 2.下列说法正确的是()A.1的相反数是 1 B.1的倒数是 1 C.1的立方根是 1 D.1 是无理数3.一张菱形纸片按图11、图 12 依次对折后，再按图13 打出一个圆形小孔，则展开铺平后的图案()4.下列运算正确的是()A.21211 B.60000001067 C.2222aa D.523aaa5.图 2 中的三视图所对应的几何体是()A B 图 11 图 13 图 12 D C 2 6.如图 3，AC，BE是O的直径，弦 AD与 BE交于点 F，下列三角形中，外心不是点 O的是()A.ABE B.ACF C.ABD D.ADE 7.在数轴上标注了四段范围，如图4，则表示8的点落在()A.段 B.段 C.段 D.段8.如图 5，AB EF，CD EF，BAC=50，则ACD=()A.120 B.130 C.140 D.1509.已知：岛 P位于岛 Q的正西方，由岛 P，Q分别测得船 R位于南偏东 30和南偏西 45方向上，符合条件的示意图是()10.一台印刷机每年印刷的书本数量y(万册)与它的使用时间 x(年)成反比例关系，当 x=2时，y=20，则 y 与 x 的函数图像大致是()图 4 图 3 图 5 文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T10文档编码:CW9E10Z2Q5B3 HF7H7Z1D6B8 ZD6X6W1N7T103 11.利用加减消元法解方程组6351052yxyx，下列做法正确的是()A.要消去 y，可以将25 B.要消去 x，可以将)5(3 C.要消去 y，可以将35 D.要消去 x，可以将2)5(12.若关于 x 的方程022axx不存在实数根，则 a 的取值范围是()A.a1 C.a1 D.a1 13.将一质地均匀的正方体骰子掷一次，观察向上一面的点数，与点数3 相差 2 的概率是()A.21 B.31 C.51 D.6114.如图 6，直线332:xyl与直线ay(a为常数)的交点在第四象限，则a可能在()A.21a B.02a C.23a D.410a15.如图 7，点 A，B为定点，定直线l AB，P是 l 上一动点，点M，N分别为 PA，PB的中点，对于下列各值：线段 MN 的长；PAB的周长；PMN 的面积；直线 MN，AB之间的距离；APB的大小.其中会随点 P的移动而变化的是()A.B.C.D.16.图 8 是甲、乙两张不同的矩形纸片，将它们分别沿着虚线剪开后，各自要拼一个与原来面积相等的正方形，则()A.甲、乙都可以 B.甲、乙都不可以 C.甲不可以，乙可以 D.甲可以，乙不可以二、填空题(本大题共 4 个小题，每小题 3 分，共 12 分，把答案写在题中横线上)图 6 图 7 图 8 文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I44 17.若02015a，则a18.若02ba，则ababa222的值为19.平面上，将边长相等的正三角形、正方形、正五边形、正六边形的一边重合并叠在一起，如图9，则 3+12=20.如图 10，BOC=9，点 A在 OB上，且 OA=1，按下列要求画图：以 A为圆心，1 为半径向右画弧交OC于点 A1，得第 1 条线段 AA1；再以 A1为圆心，1 为半径向右画弧交OB于点 A2，得第 2 条线段 A1A2；再以 A2为圆心，1为半径向右画弧交 OC 于点 A3，得第 3条线段 A2A3；这样画下去，直到得第n 条线段，之后就不能再画出符合要求的线段了，则n=三、解答题(本大题共 6个小题，共 66 分。解答应写出文字说明、证明过程或演算步骤)21.(本小题满分 10 分)老师在黑板上书写了一个正确的演算过程，随后用手掌捂住了一个二次三项式，形式如下：(1)求所捂的二次三项式；(2)若16x，求所捂二次三项式的值.图 10 1532xxx图 9 文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I45 22.(本小题满分 10 分)嘉淇同学要证明命题“两组对边分别相等的四边形是平行四边形”是正确的，她先用尺规作出了如图 11的四边形 ABCD，并写出了如下不完整的已知和求证。(1)在方框中填空，以补全已知和求证；(2)按的想法写出证明；证明：(3)用文字叙述所证命题的逆命题为23.(本小题满分 10 分)水平放置的容器内原有210 毫米高的水，如图12，将若干个球逐一放入该容器中，每放入一个大球水面就上升4 毫米，每放入一个小球水面就上升3 毫米，假定放入容器中的所有球完全浸没水中且水不溢出，设水面高为y 毫米.(1)只放入大球，且个数为x大，求 y 与 x大的函数关系式(不必写出 x大的范围)；(2)仅放入 6 个大球后，开始放入小球，且小球个数为x小.求 y 与 x小的函数关系式(不必写出 x小的范围)；限定水面高不超过260 毫米，最多能放入几个小球？已知：如图11，在四边形ABCD 中，BC=AD，AB=.求证：四边形ABCD 是四边形.图 11 图 12 我的想法是：利用三角形全等，依据“两组对边分别平行的四边形是平行四边形”来证明.嘉淇文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I46 24.(本小题满分 11 分)某厂生产 A，B两种产品，其单价随市场变化而做相应调整，营销人员根据前三次单价变化的情况，绘制了如下统计表及不完整的折线图：A，B产品单价变化统计表并求得了 A产品三次单价的平均数和方差：9.5Ax；150439.55.69.52.59.56312222AS (1)补全图13 中 B 产品单价变化的折线图，B 产品第三次的单价比上一次的单价降低了%；(2)求 B产品三次单价的方差，并比较哪种产品的单价波动小；(3)该厂决定第四次调价，A 产品的单价仍为6.5 元/件，B 产品的单价比3 元/件上调m%(m0)，使得 A产品这四次单价的中位数是B产品四次单价中位数的2 倍少 1，求 m的值。第一次第二次第三次A产品单价(元/件)6 5.2 6.5 B产品单价(元/件)3.5 4 3 图 13 文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I47 25.(本小题满分 11 分)如图 14，已知点 O(0，0)，A(5，0)，B(2，1)，抛物线1)(2hxyl：(h 为常数)与 y 轴的交点为 C。(1)l 经过点 B，求它的解析式，并写出此时l 的对称轴及顶点坐标；(2)设点 C 的纵坐标为Cy，求Cy的最大值，此时l 上有两点11yx，22yx，其中021xx，比较1y与2y的大小；(3)当线段 OA被 l 只分为两部分，且这两部分的比是1：4 时，求 h 的值。图 13 文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I4文档编码:CV4T7R6A3Y4 HS8N9L10H7J9 ZD9S9E10G7I48 26.(本小题满分 14 分)平面上，矩形 ABCD 与直径为 QP的半圆 K如图 151 摆放，分别延长 DA和 QP交于点 O，且DOQ=60，OQ=OD=3，OP=2，OA=AB=1，让线段 OD及矩形 ABCD 位置固定，将线段OQ连带着半圆 K一起绕着点 O按逆时针方向开始旋转，设旋转角为)600(aa.发现：(1)当0a，即初始位置时，点P 直线 AB上.(填