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我们知道,在解一元n次方程时,可以观察它的系数特点,若各项系数和为零,便知它有一根为1:着奇次项与偶次项系数和相等,便知它有一根为-1。这种解题方法称之为观察法,用观察法解题简便迅速。但是在解题时,直接用观察法求解的情况并不多见。然而通过观察题目的结构。特点、条件以及已知与朱知问的关联,引起触景生情、产生巧妙的解题构思,得到简捷的求解方法的例子倒是不少。比如解方程((2+3~(1/2))~(1/2))~x+((2-3~(1/2))~(1/2))~x=4。这本是一个指数方程,且底数是无理数,按常规解法,初中学生只能望洋兴叹。可是只要我们注意观察((2+3~(1/2))~(1/2))~x与((2-3~(1/2))~(1/2))~x互为倒数这一特点,不难看出,原方
We know that when we solve a single n-th order equation, we can observe its coefficient characteristics. If each coefficient is zero, we know that it has one: the odd-even and even-order coefficients are equal and we know that it has one The root is -1. This problem-solving method is called observation method, and the observation method is simple and rapid. However, when solving a problem, it is rare to directly use the observation method to solve the problem. However, by observing the structure of the topic. The characteristics, conditions, and connections with Zhu Zhiwen are known to cause arousal of emotions, ingenious ideas for problem solving, and simple examples of how to solve problems. For example, the solution equation ((2+3~(1/2))~(1/2))~x+((2-3~(1/2))~(1/2))~x=4. This is an exponential equation, and the base is an irrational number. According to the conventional solution, junior high school students can only enjoy the ocean. However, as long as we observe ((2+3~(1/2))~(1/2))~x and ((2-3~(1/2))~(1/2))~x Countdown this feature, it is not difficult to see that the original party