论文部分内容阅读
ax+by≤a2+b2～(1/2).x2+y2～(1/2),2ab≤a2+b2,a+b≤2a2+b2～(1/2)(a,b,x,y∈R)是几个常用的不等式.文[1]利用三角代换,将这些不等式统一为研究sin(α+β)的取值范围;文[2]通过构造向量,将这些不等式统一为研究向量夹角的范围.这两种方法均是将不等式问题转化为等式进行研究,?
ax + by ≦ a2 + b2 ~ (1/2) .x2 + y2 ~ (1/2), 2ab ≦ a2 + b2, a + b ≦ 2a2 + b2 ~ y∈R) are several commonly used inequalities. In [1], these inequalities are unified into the range of the value of sin (α + β) by using trigonometric substitution. [2] By constructing vectors, these inequalities are unified into The range of the angle between the vectors is studied, and both of these methods convert the inequality problem into an equation.