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山高自有行路客,水深自有渡船人.遇难而不畏难,是我们在学习数学的道路上必备的一种品质,最近解了一条题目,深有感触.问题呈现若实数a,b,c,d满足a~2-2lna/b=3c-4/d=1.求(a-c)~2+(b-d)~2的最小值.思考过程不少资料上提供的解法是利用数形结合思想解决.但是对于基本功一般的同学来说,数形结合要求过高.于是再审题,先动笔化简分式,自然就能想到主元法,就能顺着往下做了,以下是我的解题
Mountain high self-owned line of passengers, the depth of its own ferry people .Will not afraid of difficulties, is that we are in the process of learning mathematics a necessary quality, recently solved a problem, deeply touched .Problem if the real number a, b, c, d satisfy a ~ 2-2lna / b = 3c-4 / d = 1. Find the minimum value of (ac) ~ 2 + (bd) ~ 2. Thinking process A lot of information provided on the solution is the use of combination But for basic classmates, the combination of number and shape requirements are too high.So retrial topic, the first move of the simplified form, naturally can think of the main element method, you can do down the following, the following is my Problem-solving