高中基本不等式(x+2y)²=x²+4y²+4xy>=8xy x²+4xy+4y
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高中基本不等式
(x+2y)²=x²+4y²+4xy>=8xy
x²+4xy+4y²≥8xy 我算不出是8xy x²+4xy+4y²≥根号下﹙x²+4y²﹚×4xy不大于8xy怎么弄得
(x+2y)²=x²+4y²+4xy>=8xy
x²+4xy+4y²≥8xy 我算不出是8xy x²+4xy+4y²≥根号下﹙x²+4y²﹚×4xy不大于8xy怎么弄得
![高中基本不等式(x+2y)²=x²+4y²+4xy>=8xy x²+4xy+4y](/uploads/image/z/7113587-59-7.jpg?t=%E9%AB%98%E4%B8%AD%E5%9F%BA%E6%9C%AC%E4%B8%8D%E7%AD%89%E5%BC%8F%28x%2B2y%29%26%23178%3B%3Dx%26%23178%3B%2B4y%26%23178%3B%2B4xy%3E%3D8xy+x%26%23178%3B%2B4xy%2B4y)
x²+4y² ≥ 2√(x²*4y²) = 4xy
所以 x²+4y² +4xy ≥ 4xy+4xy = 8xy
所以 x²+4y² +4xy ≥ 4xy+4xy = 8xy
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