已知扇形面积为25cm^2,当扇形的圆心角为多大时,扇形的周长取值最小 我们老师就用是如下方法设圆心角为m.扇形的面积为25cm^2,故m/360*π*R^2=25扇形周长=m/360*2π*R+2R>=2*√(m/360*2π*R*2R)=4*√(m/360*π*R
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![已知扇形面积为25cm^2,当扇形的圆心角为多大时,扇形的周长取值最小 我们老师就用是如下方法设圆心角为m.扇形的面积为25cm^2,故m/360*π*R^2=25扇形周长=m/360*2π*R+2R>=2*√(m/360*2π*R*2R)=4*√(m/360*π*R](/uploads/image/z/4027630-22-0.jpg?t=%E5%B7%B2%E7%9F%A5%E6%89%87%E5%BD%A2%E9%9D%A2%E7%A7%AF%E4%B8%BA25cm%5E2%2C%E5%BD%93%E6%89%87%E5%BD%A2%E7%9A%84%E5%9C%86%E5%BF%83%E8%A7%92%E4%B8%BA%E5%A4%9A%E5%A4%A7%E6%97%B6%2C%E6%89%87%E5%BD%A2%E7%9A%84%E5%91%A8%E9%95%BF%E5%8F%96%E5%80%BC%E6%9C%80%E5%B0%8F+%E6%88%91%E4%BB%AC%E8%80%81%E5%B8%88%E5%B0%B1%E7%94%A8%E6%98%AF%E5%A6%82%E4%B8%8B%E6%96%B9%E6%B3%95%E8%AE%BE%E5%9C%86%E5%BF%83%E8%A7%92%E4%B8%BAm.%E6%89%87%E5%BD%A2%E7%9A%84%E9%9D%A2%E7%A7%AF%E4%B8%BA25cm%5E2%2C%E6%95%85m%2F360%2A%CF%80%2AR%5E2%3D25%E6%89%87%E5%BD%A2%E5%91%A8%E9%95%BF%3Dm%2F360%2A2%CF%80%2AR%2B2R%3E%3D2%2A%E2%88%9A%28m%2F360%2A2%CF%80%2AR%2A2R%29%3D4%2A%E2%88%9A%28m%2F360%2A%CF%80%2AR)
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