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HMMT 二月 2001 · 冲刺赛 · 第 58 题

HMMT February 2001 — Guts Round — Problem 58

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. [9] Let ( x, y ) be a point in the cartesian plane, x, y > 0. Find a formula in terms ofx and y for the minimal area of a right triangle with hypotenuse passing through ( x, y ) andlegs contained in the x and y axes.
解析

英文解析

  1. [9] Let ( x, y ) be a point in the cartesian plane, x, y > 0. Find a formula in terms ofx and y for the minimal area of a right triangle with hypotenuse passing through ( x, y ) andlegs contained in the x and y axes.
    Solution: 2 xy .8