方便之门 door of convenience
Explanation
方便之门，原指佛教方便引导人们入教的门径，后泛指给人方便的门路或方法。比喻为人提供方便的途径或方法，也指能够解决问题、达到目标的简便途径。
The door of convenience originally referred to the Buddhist path that conveniently guided people into the religion; later, it generally referred to a convenient path or method for people. It is a metaphor for providing a convenient way for people or for a simple way to solve problems and achieve goals.
Origin Story
唐朝时期，一位高僧云游四方，来到一座偏僻的小山村。村里有一位老妇人，虔诚信佛，却因为路途遥远，无法经常去寺庙礼佛。高僧见此，心生怜悯，便利用自己对佛法的理解，为老妇人指引了一条方便之门——一条通往心灵净土的捷径。他教老妇人通过每日诵读佛经、静心冥想，就能感受到佛法的慈悲和智慧，即使身处乡村，也能获得与寺庙一样的修行体验。老妇人受益匪浅，从此更加虔诚地信仰佛教，并把这份方便之门传递给更多的人。
During the Tang Dynasty, a high-ranking monk traveled around and came to a remote small mountain village. In the village, there was an old woman who devoutly believed in Buddha, but because of the long distance, she could not often go to the temple to worship Buddha. Upon seeing this, the monk felt compassion and used his understanding of Buddhism to guide the old woman to a door of convenience—a shortcut to the pure land of the heart. He taught the old woman that by reciting Buddhist scriptures and meditating every day, she would be able to feel the compassion and wisdom of Buddhism. Even in the countryside, she could have the same spiritual experience as in the temple. The old woman greatly benefited from this and became more devout in her faith, passing on this door of convenience to more people.
Usage
常用作宾语，多与“开”字搭配使用，形容为他人提供方便的途径或方法。
It is often used as an object, often paired with the word "open," to describe a way or method that provides convenience for others.
Examples
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他总是为别人着想，为他人开方便之门。
tā zǒngshì wèi biérén zhuóxiǎng, wèi tārén kāi fāngbiàn zhī mén
He always thinks for others and opens the door of convenience for them.
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这条路虽然崎岖，却是到达山顶的方便之门。
zhè tiáo lù suīrán qíqū, quèshì dàodá shāndǐng de fāngbiàn zhī mén
Although this road is rugged, it is the convenient gateway to the top of the mountain。