"Governing by doing nothing" comes from Tao Te Ching, which is the Taoist concept of governing the country. The ideological core of Tao Te Ching is "Tao", which is inaction, but "Tao" is regular, which restricts the operation of everything in the universe and everything follows the law. Extending to governing the country, "governing by doing nothing" means governing the country with a system (which can be understood as the law in the Tao), restraining the behavior of subjects with a system, and all subjects abide by the legal system.
"Governing by doing nothing" is not doing nothing, but interfering too much, giving full play to everyone's creativity, realizing self-realization and moving towards loftiness and glory. "inaction" is not inaction, but inaction. Because you don't violate the objective laws and follow them, you can do anything as long as you follow the Tao and follow the objective laws.
"Teaching by example" means that superiors set an example and educate people with their own actions, which is also called "teaching by example".
Tao Te Ching is a philosophical work of Laozi (Li Er) in the Spring and Autumn Period, also known as Tao Te Ching, Laozi's Five Thousand Words and Laozi's Five Thousand Articles. It is a work of China before the separation of the pre-Qin philosophers in ancient times, and it is an important source of Taoist philosophy. Tao Te Ching is divided into two parts. The first part of the original text is the Tao Te Ching, and the second part is the Tao Te Ching, without chapters. Later, it was changed to the Tao Te Ching in the first 37 chapters, and the Tao Te Ching in the last 38 chapters, divided into 8 1 chapters.