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在解完一道数学题后,仔细思考一下:解这道题的关键是什么?有没有更简捷的解法?在数学教学中培养学生养成这种题后小结的习惯,对于灵活运用知识,提高解题能力,有重要的意义.本文试就一道解析几何题的求解过程作一初步探讨.题目:曲线X~2+4y~2-6X-16y+21=0与平行于y轴的直线交于A、B两点,曲线的中心为0’,试求△0’AB面积的极大值.(82年全国广播电视大学招生数学试
After solving a math problem, think carefully: What is the key to solving this problem? Is there a simpler solution? Cultivate students’ habits of developing such questions after mathematics teaching. Use knowledge to improve The problem-solving ability has important significance. This paper tries to make a preliminary discussion on the solving process of a geometric problem. Title: The curve X~2+4y~2-6X-16y+21=0 crosses with the straight line parallel to the y-axis. At two points A and B, the center of the curve is 0’, try to find the maximum value of △ 0’AB area. (82 National Radio and TV University Admissions Mathematics Test