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20 0 3年北京市春季高考试题第 ( 12 ) :在直角坐标系xoy中 ,已知△OAB三边所在直线的方程分别为x =0、y =0、2x +3y =30 ,则△OAB内部和边上整点 (即横、纵坐标均为整数的点 )的总数为 ( )(A) 95 (B) 91 (C) 88 (D) 75本文运用线性规划方法及简单的整数论知识给出五
Beijing City Spring High School Examination Questions (2003): In the rectangular coordinate system xoy, the equations for the straight line where the three sides of the △OAB are known are respectively x =0, y =0, 2x +3 y = 30, then △OAB The total number of points on the interior and edges (ie, the points where the horizontal and vertical coordinates are all integers) is () (A) 95 (B) 91 (C) 88 (D) 75 This paper uses linear programming methods and simple knowledge of integers. Give five