柯西不等式在分科式编写的老教材和实验版高中数学教材中都没有提及到,虽然在课后习题和课外练习题中偶尔能够看到它的影子,但是高中数学新课标下的教材在系列4不等式选讲中明确提出了对柯西不等式的要求:学生能够了解它的深刻的教学意义和背景,加深学生对柯西不等式的数学本质 Cauchy inequality is not mentioned in the dichotomous old textbooks and experimental high school math textbooks. Although it may occasionally be seen in the afterschool exercises and extracurricular exercises, textbooks under the new high school mathematics curriculum In the Series 4 Inequality Election, I explicitly put forward the requirement of Cauchy inequality: students can understand its profound teaching significance and background, deepen the students’ mathematical nature of Cauchy inequality