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数学公式的教学经常有引入、证明、分析应用和推广等步骤。随着各个公式的具体内容不同,教学的侧重点也有所不同。不等式(a+b)/2≥(ab)~(1/2)是基本不等式a~2+b~2≥2ab的推论,它的引入与证明都不难从基本不等式中得到,所以我们把教学的重点放在对这个公式的分析、应用和推广上。 (一)分析公式所谓分析公式,就是使学生知道公式字母的意义,公式中左式和右式的构成规律,公式成立的条件,公式的语言叙述,和有联系的公式互相比较,
Teaching of mathematical formulas is often introduced, proven, analytical application and promotion steps. As the specific content of each formula is different, the emphasis of teaching is also different. The inequality (a + b) / 2 ≥ (ab) ~ (1/2) is the corollary of the basic inequalities a ~ 2 + b ~ 2 ≥ 2ab. It can be easily derived from the basic inequalities that we introduce The emphasis of teaching is on the analysis, application and promotion of this formula. (1) Analytical Formulas The so-called analytical formula is to enable students to know the meaning of formula letters, the compositional rules of left and right formulas, the conditions for formulating formulas, the language descriptions of formulas, and the associated formulas,