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HMMT 二月 2003 · 冲刺赛 · 第 2 题

HMMT February 2003 — Guts Round — Problem 2

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. [5] The graph of x = x y is a union of n different lines. What is the value of n ?
解析

英文解析

  1. The graph of x = x y is a union of n different lines. What is the value of n ?
    Solution: 3
    4 2 2 2
    The equation x − x y = 0 factors as x ( x + y )( x − y ) = 0, so its graph is the unionof the three lines x = 0, x + y = 0, and x − y = 0.