论文部分内容阅读
数列不等式的证明具有难度大、解法灵活、思路开阔的特点,是对学生思维和能力的一种考验,其证明过程不仅需要巧妙的解题方法,还需具备创新灵动的思维火花.故此类不等式证明常常受到高考命题者的青睐,在数学高考中时常扮演着“压轴题”的角色.然而平时对此类问题的教学常常只注重常规思路如:放缩法、数学归纳法、构造函数法、构造新数列法、导数法等.于是乎,大多数学生对此类证明还是感到难以驾驭,特别是在紧张而短暂的考试过程中,对此类证明题更是望而生畏,大有谈“虎”色变之势,有的甚
The identification of numerical inequalities is a difficult test, a flexible solution and an open mind. It is a test of students’ thinking and ability, which proves that the process not only requires clever solution but also has innovative and intelligent thinking sparks. Proofs are often favored by college entrance examination candidates, and often play the role of “finale” in mathematics college entrance examination.Usually, however, the teaching of such problems often focuses on common ideas such as deflation, mathematical induction, constructor Law, the construction of a new number of columns, the derivative method, etc. Therefore, most students feel that such proof is still difficult to control, especially in the tense and short course of examination, such proof questions more daunting, a lot of talk “Tiger” color change trend, some very