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2、人教部编版高中数学课件PPT电子教案导学案说课稿练习试卷资源包百度网盘分享
3、人教高中数学A版必修一《2.3.1 幂函数》优质课公开课课件、教案
麦克PPT网提供各类精美实用高中数学 说课PPT及相关PPT模板下载，另有多种风格供您选择，如：手绘，水彩，特效动画，科技，简约，卡通，通用风格等，更多高中数学 说课PPT模板就来麦克PPT网。 您好，我是阳子，专注于收集小学，初中，高中各科老师用到的各类PPT课件，电子教案，导学案、教学计划、说课稿、知识点归，教学视频，试题试卷，电子课本，实验视频，教务助手等资料，方便老师备课以及家长提前辅导学生用，都是可编辑，可打印，资料很齐，手里一份，轻松整个学期。另外由于篇幅有限，内容太多，以下部分只展示某个年级某册某个单元的资料。 ------如需电子版请直接拉至文末获取------ 资源清单 以高中数学资料为预览，其他年级一样 01.人教版高中数学【课件PPT--教案--试题】 02.人教版高中数学【说课稿】： 03.人教版高中数学【高考总复习】： 04.人教版高中数学【动画flash】： 05.人教版高中数学【思维方法】： 06.人教版高中数学【CES学习方法】： 07.人教版高中数学【知识点分布图】： 2.3幂函数 教学设计 创新整合点 1.信息技术与培养创新能力的整合，学生自己提出问题，探索幂函数的规律，得出结论。2.信息技术与自主学习的整合在教学过程中，相互交流，合作探究。 3. 信息技术与创设情境的整合，对于例题和练习的讲解，充分利用白板的智能优势，调动学生的积极性。 教材分析 《幂函数》选自数学必修1的第2章第3节。幂函数是继指数函数和对数函数后研究的又一基本函数。 学情分析 通过本节课的学习，学生将建立幂函数这一函数模型，进一步确立利用函数的定义域、值域、奇偶性、单调性研究一个函数的意识，并能用它们解决一些问题。 教学目标 知识与技能目标：了解五种幂函数，体会建立和研究一个函数的基本过程和方法，同时会运用它们解决一些实际问题。 过程与方法目标：通过实例，了解幂函数的概念，结合函数， 的图象，了解它们的变化情况，理解幂函数图象的性质。 情感态度与价值观目标：培养学生自主学习、综合归纳、数形结合的能力。在民主、和谐的教学气氛中，促进师生的情感交流。 教师大 - 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由具体实例 （1）、正方形的边长为x，则正方形的面积y=_____，这里y是x的函数。 （2）、正方形的面积为x，则正方形的边长y=______, 这里y是x的函数。 （3）、已知长方形的面积是1，它的长为x，则它的宽y=_____,这里y是x的函数。 提问：以上问题中的函数具有什么共同特征？ 引入本节课要讲的幂函数。在实际情况下进行学习，可以使学生利用已有知识与经验，同化和索引出当前学习的新知识，这样获取的知识，不但易于保持，而且易于迁移到陌生的问题情境中。 2．讲解新课 问：实例中的三个函数关系式从结构上看有什么共同的特点吗？ 答：上面三个函数的表达式都是幂的形式，变量x在底数的位置上，它们的指数都是常数。 问：你们还能举出和刚才三个函数形式一样的函数吗？ 答：，… 问：你们类比指数函数的概念，考虑一下，这样的函数应该叫什么函数呢？ 通过学生的回答，引入这节课要研究的幂函数。 揭示课题：今天这节课，我们就来研究幂函数 （1）幂函数的概念 一般地，函数y=xα 叫做幂函数，其中x 是自变量，α是常数。 问：由定义判断函数是否为幂函数？ 根据学生的回答，继续提问：你认为什么样的函数才是幂函数？ ①只有形如y=xα的函数才是幂函数，其中x是自变量，α是常数。 例如：下列几个函数中，那些是幂函数？ 教师大 - 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分析：由幂函数的概念可知，函数，是幂函数。要注意幂函数和指数函数的区别。幂函数---底数是自变量，指数是常数；指数函数----指数是自变量，底数是常数。 ②若一个函数是幂函数，则该函数也必具有这一形式，这是我们解决某些问题的一个隐含条件。 例如：已知是幂函数，求 m,n的值。 分析：由幂函数的概念可得 解得 对于幂函数，我们只研究α=1,2,3，，-1时的情形，它们对应的函数分别为，接下来要研究这五个函数的图象和性质。 在同一平面直角坐标系中作出的图象，如右图，可以得到： （1）函数的图象都过点（1,1） ( 2 )函数是奇函数，图象关于原点对称，函数是偶函数，图象关于y轴对称。 （3）函数的图象都过点（0,0）和（1,1），并且它们在上都单调递增。 （4）在第一象限内，函数的图象向上与y轴无限接近，向右与x轴无限接近。 例1.证明幂函数在上是增函数。 证明：任取 因为， 教师大 - 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所以，即幂函数在上是增函数 下面根据五种幂函数的性质，做两道题。 例2.设，则使函数y的定义域为R且为奇函数的所有α的值为_________, 使函数y为奇函数并且在上单调递减的α的值为_________。 分析: 使函数y的定义域为R且为奇函数的所有α的值为1,3 使函数y为奇函数并且在上单调递减的α的值为-1 例3.给出下列结论：（1）幂函数既是奇函数又是定义域上的减函数。（2）幂函数既是奇函数又是偶函数。（3）幂函数既不是奇函数也不是偶函数。（4）幂函数的图象都通过点（0，0）和（1,1）（5）幂函数的图象可以出现在第四象限。其中正确的是__________. 分析：由幂函数的性质可得正确的结论是（3）。 课后练习 P79习题2.3第2，3题 课后小结 这节课学习了幂函数的概念，以及如何通过函数的解析式和图象来研究函数的性质，并会用它们解决一些问题。 师梦圆 - 精选教学资源 下载更方便 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原文地址：http://www.9qk.net/post/3250.html发布于：2025-11-24
