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先介绍一个数形结合模型.代数式(x~2+9)~(1/2)可表示成两直角边分别为x和3的直角三角形斜边长,((12-x)~2+4)~(1/2)可表示成两直角边分别为12-x和2的直角三角形斜边长,(x~2+9)~(1/2)+((12-x)~2+4)~(1/2)表示成两斜边长之和,(x~2+9)~(1/2)+((12-x)~2+4)~(1/2)的最小值就是两斜边长之和.这里,两个直角三角形各
The algebraic formula (x ~ 2 + 9) ~ (1/2) can be expressed as the hypotenuse length of the right triangle with the two right-angle edges being x and 3, respectively, and the (12-x) ~2 +4 ) ~ (1/2) can be expressed as the length of the hypotenuse of the right triangle with the two right-angle edges being 12-x and 2, respectively, and x2 + 9-1/2 + 12- x2 + 4) ~ (1/2) is the sum of the lengths of the two hypotenuse sides, and is the smallest of (x ~ 2 + 9) ~ (1/2) + ((12-x) ~ 2 + 4) ~ (1/2) The value is the sum of two hypotenuse lengths. Here, two right-angled triangles each