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amc 美国数学竞赛 2000 amc 10 试题及答案解析

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s is equivalent to in mod . РThus, we need to choose one number that is in mod . is the only one that works. РThus, is the last score entered. Р15 РTwo non-zero real numbers, and , satisfy . Which of the following is a possible value of ? РSolution РSubstituting , we get Р16 РThe diagram shows lattice points, each one unit from its nearest neighbors. Segment meets segment at . Find the length of segment . РSolution РSolution 1РLet be the line containing and and let be the line containing and . If we set the bottom left point at , then , , , and . РThe line is given by the equation . The -intercept is , so . We are given two points on , hence we pute the slope, to be , so is the line РSimilarly, is given by . The slope in this case is , so . Plugging in the point gives us , so is the line .

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