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过分技巧的设计或者设计有被投机漏洞的把关题,这对学生而言有失公平,失去考查的价值。好的把关题应是考查核心知识、数学思维能力与防范被“投机”三者并重的题目。1缘起2014年1月,笔者所在学校高三年级参加镇江市期末统考,考后统计发现数学试卷的第14题(把关题)得分情况出乎教师们的意料,学生答题的正确率非常高。现将原题摘录如下:已知x>0、y>0,若不等式x~2+y~2≥kxy(x+y)恒成立,则实数k的最大值
Excessive skill in the design or design of a subject that is subject to speculative loopholes, which is unfair to students, loses the value of examination. Good questions should be the subject of examination of core knowledge, mathematical thinking ability and prevention of being “speculative”. 1 Origin In January 2014, the third grade of the author’s school participated in the final examination of Zhenjiang City. Statistics after the examination found that the score of the 14th question (the questions) of the mathematics examination was beyond the expectation of the teachers. The correct answer rate of the students was very high. The original question is excerpted as follows: It is known that x>0, y>0, if the inequality x~2+y~2≥kxy(x+y) is constant, then the maximum value of real number k