把它的触角伸向我们生活的各个方面 意译为“充满"permeat或“盛行”pervade
The Internet has permeated/pervade all aspects of our life.
其他例句：
A spirit of rugged individualism pervades virtually every aspect of American life事实上,严格的个人主义精神渗透到了美国生活的各个方面.
The negative impact of China's overabundance of population has permeated all aspects of social and economic life; in fact,many difficulties China has encountered in its economic and social development are directly related to the problem of population.中国人口过多的不利影响已经渗透到社会经济生活的各个方面,中国在经济和社会发展中遇到的许多困难,都与它有直接的关系.