在有些二元函数求最值的问题中,构建向量模型,常常会使复杂的问题变得简洁明了,利用向量的坐标及向量的内积,会使繁锁的解题过程显得巧妙与自然,下面举例进行分析:【例1】已知:x2+y2=1,求3x+2y的最大值.解:由已知,可取一定点M(3,2)设N( x,y)为圆x2+y2=1上任意一点,0为原点,则OM In the problem of finding some value for some binary functions, constructing a vector model will often make the complicated problem clear and concise. Using the coordinates of the vector and the inner product of the vector will make the problem-solving process clever and natural. The following example is used for analysis: [Example 1] It is known that: x2+y2=1, find the maximum value of 3x+2y. Solution: From known, it is desirable to take a certain point M(3,2) Let N(x,y) be a circle X2+y2=1 at any point, 0 is the origin, then OM