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本期问题初109 记pn=(1+1)(1+1/4)…(1+1/3n-2).求P2000的最大整数部分.(杨志明 湖北省黄石市第二中学,435000)初110 圆周上5点可连结成一个凸五边形及一个五角星.求证:此圆上任一点到凸五边形五条边距离之积等于该点到五角星五条边距离的积.
At the beginning of the current issue 109, note pn=(1+1)(1+1/4)...(1+1/3n-2). Find the largest integer part of P2000. (Yang Zhiming, Huangshi Second Middle School, Hubei Province, 435000) At the beginning of 110, five points on the circumference can be connected into a convex pentagon and a five-pointed star. Proof: The product of the distance from any point on the circle to the edge of the convex pentagon is equal to the product of the distance from this point to the five sides of the five-pointed star.