利用柯西不等式求代数式最小值
2015-03-18 13:05
本范例演示如何利用柯西-施瓦茨不等式求解代数式的最小值问题。已知正数 a, b, c 满足 a + b + c = 3，求 1/a + 4/b + 9/c 的最小值。通过构造向量并利用向量的数量积与模长的关系，巧妙地将代数问题转化为向量不等式，从而得出最小值。适合高中数学不等式与最值优化学习。
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不等式
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