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初一初二初三数学语文英语一对一辅导来同程学堂

初一初二初三数学语文英语一对一辅导来同程学堂
初一初二初三数学语文英语一对一辅导来同程学堂

首先,记住笔记,背,不要认为理解是可以的。

有些学生认为,与英语、历史和地理不同,数学依赖于智慧、技能和推理。我说你只有一半是对的。数学也离不开记忆。试想一下,如果小学的加法、减法、乘法、除法都没有记下来,你能否顺利运作呢?虽然你知道乘法是同一个加法之和的运算,但是你要做9*9来加81。用“九九一一”就方便多了。同样,它是用我们大家都记得的规则来完成的。同时,数学中有许多规则需要记住,如规定(a≠0)等。因此,我认为数学更像是一场游戏,它有许多游戏规则(即定义、规律、公式、定理等)。在数学中,谁能记住这些游戏规则,谁就能顺利地玩游戏;违反游戏规则的人将被判有罪并被开除。因此,数学的定义、规律、公式、定理等都必须记住,有的最好能背诵、口念。例如,我们熟悉“积分乘法的三个公式”,我看到你们中有些人会背诵,有些人不会。在这里,我向不能背诵这三个公式的同学敲响警钟。如果我不背诵这三个公式,就会给今后的研究带来很大的麻烦,因为这三个公式将在今后的研究中得到广泛的应用。特别是初中二年级将要学习的因式分解,其中三个重要的因式分解公式是从这三个乘法公式中推导出来的,两个是相反方向的变形。

对于数学的定义、规律、公式、定理等,我们应该记住我们所理解的和暂时不理解的东西,然后在记忆的基础上,当我们把它们应用于解决问题时,加深我们的理解。例如,数学定义、定律、公式和定理就像木匠的轴、锯、墨斗、刨花等。没有这些工具,木匠就不能制造家具;有了这些工具,再加上熟练的技术和智慧,你就能制造出各种精美的家具。同样,如果不记住数学的定义、规律、公式和定理,就很难解决数学问题。记住这些方法,技巧和敏捷思维,你可以解决数学问题,甚至解决数学问题可以方便。

ii.几个重要的数学思想

1.“方程”思想

数学是研究事物的空间形式和数量关系。初中阶段最重要的数量关系是平等关系,其次是不平等关系。最常见的等价关系是“方程”。例如,在等速运动中,距离、速度和时间之间存在等价关系,可以建立相关方程:速度*时间=距离。在这样的方程中,通常会有已知的量和未知量。含有这种未知量的方程是“方程”,它可以从方程中已知的量导出。未知量的过程是求解方程的过程。我们在小学时接触过简单的方程,而在初中第一年,我们系统地学习解一变量的第一个方程,并总结出解一变量的第一个方程的五个步骤。如果我们学习并掌握这五个步骤,任何一个等式都能顺利地解决。在2年级和3年级,我们还将学习解决二次方程、二次方程和简单三角方程。在高中,我们还学习指数方程、对数方程、线性方程、参数方程、极坐标方程等。求解这些方程的思想几乎是相同的。通过一些方法,将它们转化为一元一阶方程或一元二次方程的形式,然后通过求解一元一阶方程或求一元二次方程根公式的常用五步法求解。物理中的能量守恒、化学中的化学平衡方程以及大量实际应用都需要建立方程和求解方程才能得到结果。因此,学生必须学会如何解一维一阶方程和一维二阶方程,然后才能学好其他形式的方程。所谓的“方程”思想是数学问题,特别是未知现实见面和已知数量的复杂关系,善于利用“方程”的观点建立相关方程,然后利用求解方程的方法来解决这个问题。

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