2003年北京市中学生数学竞赛高一年级复赛试题及参考答案

• 出 处: 中学生数学
• 发表日期: 2003年19期
• 关键词: 数学竞赛 参考答案 正整数集 填空题 三式 三点共线 正实数 可证 达一

试题 一、填空题(满分40分) 1.二,y是正整数,且满足二y+二十y一71、厂y+二犷一880.则了+犷一 三、(满分15分)如图2,动点尸在以AB一‘为弦,含弓形角为誓的弓形弧(含端点)上. 2.如图l,两圆交于A、召两点,S为两圆外一点,直线SA交第一圆于C,交第二圆于D;直线SB交第一圆于E,交第设A?

Question one, fill in the blank problem (out of 40 points) 1. Two, y is a positive integer, and meet two y+ twenty y one 71, factory y + two 犷 one 880. Then + 犷 three, (out of 15 points) as shown in Figure 2 , Moving point body in the AB’ for the chord, with bow angle for the oat arch arc (including the end point). 2. As shown in Figure l, two circles in A, called two points, S is two points outside the point, straight line SA pays the first circle to C and the second circle to D; the straight line SB crosses the first circle to E.