Two men walked through the countryside toward another village. As they come to the edge of a river, they saw an old woman sitting there upset because the bridge was____by the storm, and she was too weak to walk across the stream. The first man said____, “We are tall enough, and we can carry you across” The second man thought it troublesome, but he agreed reluctantly（不情愿地）. So the two men ____ the bridge, lifted her between them and carried her across the river. When they got to the other side, they set her down and she went on her way gratefully. After they had walked another mile or so, the second man began to complain “My back began to hurt for lifting her.” The first man ____ smiled and nodded without a word.

青岛市积极开展高雅艺术进校园、古典音乐进校园、非物质文化遗产艺术进校园活动，同时开发陶艺、漫画、灯谜、布艺等数十种艺术校本课程．开展这些艺术教育活动有助于（　　）

①提高学生的思想道德素质和科学文化素质    ②学生汲取中国优秀传统文化中的思想营养

③促进青岛市各学校的校园文化建设             ④学生全盘吸收世界其他各民族的文化

已知双曲线$C$的方程为$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\left(a>0,b>0\right)$，它的左、右焦点分别$F_1,F_2$，左右顶点为$A_1,A_2$，过焦点$F_2$先作其渐近线的垂线，垂足为$P$，再作与$x$轴垂直的直线与曲线$C$交于点$Q,R$，若$\left|P{F}_2\right|,\left|A_1{A}_2\right|,\left|Q{F}_1\right|$依次成等差数列，则离心率e=（　　　）