【教学设想】本课时的教学内容主要是研究二次根式的乘法公式、积的算术平方根及其应用,要求学生能够熟练利用公式解决实际问题。本节课共设计六个教学环节:一、自主探究;二、自主合作;三、自主展示;四、自主拓展;五、自主评价;六、自主检测。首先通过自主复习引入自主探究,让学生在实践中发现共同点,总结规律,归纳性质。通过学生的观察思考、相互交流、表述特征,引导学生自主学习,培养 Teaching Imagination This lesson is mainly to study the secondary root multiplication formula, product square root arithmetic and its application, require students to skillfully use formulas to solve practical problems. This course is designed six teaching links: First, independent exploration; Second, independent cooperation; Third, independent display; Fourth, independent development; Fifth, independent evaluation; First of all, through independent review of the introduction of self-exploration, so that students find common ground in practice, to summarize the law, inductive nature. Students through the observation and reflection, mutual exchange, characterization, and guide students to learn independently and train