已知a,b是实常数,求函数y=(x-a)²+(x-b)²的最小值①用a²+b²≥2ab得y≥2(x-a)(x-b)=2[x²-(a+b)x+ab] 当x=(a+b)/2时最小最小-(a-b)²/2②用a²+b²≥(a+b²/2 得(a-b)²/2
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/12 12:10:03
![已知a,b是实常数,求函数y=(x-a)²+(x-b)²的最小值①用a²+b²≥2ab得y≥2(x-a)(x-b)=2[x²-(a+b)x+ab] 当x=(a+b)/2时最小最小-(a-b)²/2②用a²+b²≥(a+b²/2 得(a-b)²/2](/uploads/image/z/2690348-68-8.jpg?t=%E5%B7%B2%E7%9F%A5a%2Cb%E6%98%AF%E5%AE%9E%E5%B8%B8%E6%95%B0%2C%E6%B1%82%E5%87%BD%E6%95%B0y%3D%28x-a%29%26%23178%3B%2B%28x-b%29%26%23178%3B%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC%E2%91%A0%E7%94%A8a%26%23178%3B%2Bb%26%23178%3B%E2%89%A52ab%E5%BE%97y%E2%89%A52%EF%BC%88x-a%EF%BC%89%EF%BC%88x-b%EF%BC%89%3D2%5Bx%26%23178%3B-%28a%2Bb%29x%2Bab%5D+%E5%BD%93x%3D%28a%2Bb%29%2F2%E6%97%B6%E6%9C%80%E5%B0%8F%E6%9C%80%E5%B0%8F-%EF%BC%88a-b%EF%BC%89%26%23178%3B%2F2%E2%91%A1%E7%94%A8a%26%23178%3B%2Bb%26%23178%3B%E2%89%A5%EF%BC%88a%2Bb%26%23178%3B%2F2+%E5%BE%97%EF%BC%88a-b%EF%BC%89%26%23178%3B%2F2)
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来源:学生作业帮助网 编辑:作业帮 时间:2024/07/12 12:10:03