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我去年参加了本区高考数学阅卷及卷面分析工作,了解到一些情况.很多教师认为1986年的高考数学试题是份成功的试题,命题的原则继承了往届“植根于课本,来源于教材,着眼于提高”的优点.多数试题都能在教材中找到它的“原型”或“影子”,但试题又不拘泥于课本,有的题属于灵活运用基础知识的“综合题”.如理工科数学试卷第五题就具有这样的特点.现将该题的解法分析如下:题目:如图,在平面直角坐标系中,在y轴的正半轴(坐标原点除外)上给定两点A、B,试在x轴的正半轴(坐标原点除外)上求点C,使∠ACB取得最大值.这是一道求函数最值问题的典型题,它有多种解法.
Last year, I participated in the mathematics examination and analysis of the college entrance examination in the district and learned about some situations. Many teachers think that the 1986 mathematics test for college entrance examinations was a successful test. The principle of the proposition inherited from the past “is rooted in the textbooks, and comes from the textbook. Focus on improving the advantages. Most of the questions can be found in the textbook “its prototype” or “shadow”, but the questions are not rigidly adhered to the textbook, and some questions are the “comprehensive questions” that use the basic knowledge flexibly. The fifth problem of the mathematics test paper has such features. The solution of the problem is analyzed as follows: Title: As shown in the figure, in the rectangular coordinate system, two points are given on the positive semi-axis of the y-axis (excluding the origin of coordinates). A, B, try to find the point C on the positive axis of the x-axis (excluding the coordinate origin), so that ∠ ACB get the maximum value. This is a typical problem to find the function of the value of the problem, it has a variety of solutions.