3.4 "Basic Inequality ≥ (a> 0, b> 0)" ppt-the five compulsory courseware of the Jiangsu Education Edition

The Soviet version of compulsory five 3.4 "Basic Inequality ≥ (a> 0, b> 0)" ppt If and only if a = b, the equal sign holds. Note: (1) The scope of application of the two inequalities is different. (2) The geometric averages called positive numbers a and b are called their arithmetic averages. Example 1. Use a fence to enclose a rectangular vegetable garden with an area of ​​100m2. When the length and width of this rectangle are, what is the shortest fence and the shortest fence? Conclusion 1: The product of two positive numbers is a fixed value, and the sum has a minimum value Ex1: It is known that the area of ​​a right triangle is equal to 50. When the two right angle sides are each, what is the minimum sum of the two right angle sides? What is the minimum value?

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