▲原则上说，人们会说 the idea of doing sth，一般不说 the idea to do sth。如：

The idea of going to his rescue amused her. 她一想到要去解救他就觉得想笑。

The idea of eating raw shellfish nauseates me. 我一想到吃生贝就恶心。

The idea of retiring early really appeals to me. 提前退休这个想法，我很感兴趣。

The very idea of sniffing glue is repellent to me. 我一想到吸胶毒就感到恶心。

The idea of accepting a bribe was repugnant to me. 我一想到受贿这种事就非常反感。

▲但偶尔也可见到 the idea to do sth 的用法。如：

Of course Morris hated my idea to move his department upstairs. 莫里斯当然讨厌我把他的部门搬到楼上的计划。（《剑桥国际英语词典》）

▲你说曾在哪本高中英语教材上见到过 idea to do sth，我查了一下，真查到了，是人教必修一的Unit 2：

It was my sister who first had the idea to cycle along the entire Mekong  River from where it begins to where it ends. 首先想到要沿湄公河从源头到终点骑车旅行的是我的姐姐。