【摘 要】
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做习题时遇到下面这样一道题. 题目若实数a,b,x,y满足a2+b2=m,x2+y2=n,求ax+by的最大值.我用了两种解法都能简单算出结果. 解法1 根据基本不等式即 得 解法2 根据柯西
【机 构】
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河北高阳县高阳中学高二(7)班 071500
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做习题时遇到下面这样一道题. 题目若实数a,b,x,y满足a2+b2=m,x2+y2=n,求ax+by的最大值.我用了两种解法都能简单算出结果. 解法1 根据基本不等式即 得 解法2 根据柯西不等式因 m,n为非负实数,故 , 得 做到这时出现了问题,两种解法,两个结
When you are doing exercises, you will encounter the following question. If the real numbers a, b, x, y satisfy a2+b2=m, x2+y2=n, find the maximum of ax+by. I can use two kinds of solutions to make it simple. Calculate the result. Solution 1 According to the basic inequality, the solution 2 is based on Cauchy’s inequality because m,n is a non-negative real number. Therefore, it is necessary to achieve this problem, two solutions, two knots.
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