文[1]、[2]分别给出了巧用向量不等式和椭圆不等式求一组最值问题的方法,读后很受启发.作为对这组问题探究的继续,本文从巧用柯西不等式的视角再给出其解法(限于篇幅,各例均略去不等式取等号的条件),供大家参考.例1设a2+b2+c2=4,x2+y2+z2=9,则ax+by+cz的取值范围是.(文[1]例9) In [1], [2], we give some methods to find a set of most value problems by using vector inequality and elliptic inequality, respectively. After reading this article, we are very much inspired. As a continuation of this group of questions, (Given space limitations, each case are omitted inequality take the equal sign conditions), for your reference.Example 1 Let a2 + b2 + c2 = 4, x2 + y2 + z2 = 9, then ax + by + cz is the value of (text [1] Example 9)