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数学思想是数学的灵魂,是将知识转化为能力的桥梁,更是数学知识的升华和结晶,一道好题所蕴含的数学思想能让人们领略到它在解决数学问题上的魅力及数学之美.题目都有5t~2-(4sinθ-2cosθ)_t-3≤0,求t的取值范围.解法一(转化与化归思想)令因为g(m)≤t≤f(m)恒成立等价于[g(m)]max≤t≤[f(m)]min,所以t的取值范围是.点评转化与化归思想,就是在数学对象的内部,或者不同的数学对象之间,往往会以某种形式相互联系,在一定的条件下能够相互转化,把不熟悉,不规范,复杂的问题通过恰当的
Mathematical thinking is the soul of mathematics, is a bridge of knowledge into ability, but also the sublimation and crystallization of mathematical knowledge, a good subject contains mathematical thinking allows people to appreciate its charm in solving mathematical problems and the beauty of mathematics. The problem has the range of 5t2- (4sinθ-2cosθ) _t-3≤0, find the value of t. Solution one (conversion and return to the idea) Let g (m) ≤ t ≤ f The price range of t is [g (m)] max≤t≤ [f (m)] min, which means that the comment transformation and the return to normalization thought are within the mathematical object or between different mathematical objects, Often in some form will be linked to each other, under certain conditions can be transformed into each other, not familiar with, non-standard and complex issues through the appropriate