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定积分的重要应用之一是求曲面的面积,导数的重要应用之一是求函数的极值、最值,把这两者整合到一起就得到了这样的一类试题:第一步利用定积分求出动曲线围成的曲面面积的函数解析式,第二步用导数的方法求解函数的极值、最值。这样的试题总是让人赏心悦目,诠释了
One of the most important applications of definite integral is to find the area of the surface. One of the most important applications of derivative is to find the extreme value and the maximum value of the function. When the two are integrated together, one kind of questions is obtained: Integral points to find the dynamic curve of the curved surface area of the function analytic formula, the second step using the derivative method to solve the extreme value of the function, the most value. Such questions are always pleasing to the eye, interpretation