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1.分析教材及根據學生水平,決定教學目的: 指數方程及對數方程,這節是高中代數學第121節,為高中二年下學期的課程,它緊接著對數學完之後即在懂得對數的若干性質,及二次方程解法知識的基礎上而學習的,但因此二類方程各無一般解法,在小學階段只能限於若干特殊的例子,也就是可化為普通的一次方程及二次方程來解的問題而已,課本中只有①解方程2~x=1024。②解方程a~(2x)-a~x=1。③解方程1g(a+x)+1g(b+x)=1g(c+x)三個例子,而習題本中除了簡單的方程外,尚有比較複雜而且常有增根失根的情況,在另一方面,對於為什麼要學習指數方程與對數方程,以及比種超越方程不能都以代數方程的解法去解它,課本中未曾提起,根據我班學生一般水平,在代數知識上是參差下齊的,對於二次聯立方程的知識還不很豐富,對於同根定理的認識更是膚淺,因此對本節的教學要
1. Analyze the teaching materials and determine the purpose of teaching according to the level of students: The exponential equation and the logarithmic equation. This section is the 121st section of the mathematics of the senior high school. It is the second semester course of the second year of high school. It immediately follows the mathematics after the completion of the mathematics. A number of properties are learned on the basis of knowledge of quadratic equations, but there is no general solution for the two types of equations. In elementary school, they can only be limited to a few special cases, that is, they can be converted into ordinary primary equations and quadratic equations. To solve the problem, there is only 1 solution equation 2~x=1024 in the textbook. 2 solution equation a~(2x)-a~x=1. 3 Solve three examples of equation 1g(a+x)+1g(b+x)=1g(c+x). In addition to the simple equations in the problem book, there are still more complex and often rooted cases. On the other hand, for the reason why it is necessary to study the exponential and logarithmic equations, and the transcendental equations cannot be solved by algebraic equations, it is not mentioned in the textbooks. According to the general level of students in our class, it is not equal in algebraic knowledge. In the following, the knowledge of the quadratic simultaneous equations is not very rich, and the understanding of the same root theorem is superficial, so it is necessary to teach this section.