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对于一些数式(或变形后的)结构与直线斜率有关的数学问题,我们可以通过相似联想,利用直线斜率的几何意义,巧妙地加以解决,以下对此举例说明。一、证明不等式例1 已知a、b为实数,且eb~a。(83年高考理科试题) 证:将a~b>b~a取对数得 blna>alnb即lna/a>lnb/b如图1,A(a,lna),B(b,lnb)在函数y
For some mathematical problems related to the slope of the number (or deformed) structure and the straight line, we can solve it subtly by similarity association and using the geometric meaning of the slope of the line. First, to prove the inequality Example 1 is known that a, b is a real number, and e b ~ a. (83 college entrance examination science questions) card: the a~b>b~a logarithm was blna> alnb that lna/a> lnb/b as shown in Figure 1, A (a, lna), B (b, lnb) in Function y