已知实数xy满足方程(x+2)²+(y-3)²=4 则|3x+4y-26|最小值为?已知实数xy满足方程(x+2)²+(y-3)²=4 则|3x+4y-26|最小值为?
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![已知实数xy满足方程(x+2)²+(y-3)²=4 则|3x+4y-26|最小值为?已知实数xy满足方程(x+2)²+(y-3)²=4 则|3x+4y-26|最小值为?](/uploads/image/z/1641044-20-4.jpg?t=%E5%B7%B2%E7%9F%A5%E5%AE%9E%E6%95%B0xy%E6%BB%A1%E8%B6%B3%E6%96%B9%E7%A8%8B%28x%2B2%29%26%23178%3B%2B%28y-3%29%26%23178%3B%3D4+%E5%88%99%7C3x%2B4y-26%7C%E6%9C%80%E5%B0%8F%E5%80%BC%E4%B8%BA%3F%E5%B7%B2%E7%9F%A5%E5%AE%9E%E6%95%B0xy%E6%BB%A1%E8%B6%B3%E6%96%B9%E7%A8%8B%28x%2B2%29%26%23178%3B%2B%28y-3%29%26%23178%3B%3D4+%E5%88%99%7C3x%2B4y-26%7C%E6%9C%80%E5%B0%8F%E5%80%BC%E4%B8%BA%3F)
已知实数xy满足方程(x+2)²+(y-3)²=4 则|3x+4y-26|最小值为?已知实数xy满足方程(x+2)²+(y-3)²=4 则|3x+4y-26|最小值为?
已知实数xy满足方程(x+2)²+(y-3)²=4 则|3x+4y-26|最小值为?
已知实数xy满足方程(x+2)²+(y-3)²=4 则|3x+4y-26|最小值为?
已知实数xy满足方程(x+2)²+(y-3)²=4 则|3x+4y-26|最小值为?已知实数xy满足方程(x+2)²+(y-3)²=4 则|3x+4y-26|最小值为?
原方程可化为[(x+2)/2]²+[(y-3)/2]²=1
令(x+2)/2=cosx ;(y-3)/2=sinx
x=2cosx-2 ;y=2sinx+3
3x+4y-26
=6cosx-6+8sinx+12-26
=10sin(x+w)-20
若使|3x+4y-26|最小,
则sin(x+w)最大,即当x+w=π/2+...
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原方程可化为[(x+2)/2]²+[(y-3)/2]²=1
令(x+2)/2=cosx ;(y-3)/2=sinx
x=2cosx-2 ;y=2sinx+3
3x+4y-26
=6cosx-6+8sinx+12-26
=10sin(x+w)-20
若使|3x+4y-26|最小,
则sin(x+w)最大,即当x+w=π/2+2kπ时,原式=|10-20|=10
则||3x+4y-26|min=10
希望能帮到你,祝学习进步,记得采纳,谢谢
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