～てください
RuleVerb te-form + kudasai: please do (polite request).
Curiosity
How do you politely ask someone to do something?
Intuition
The te-form hooks the action onto kudasai ("please give"). Literally you request the action as a favor: "please give me [the doing]".
Visualization
matsu → matte → matte kudasai. Once you have the te-form, kudasai just attaches.
待つdictionary form
Essence
A polite request. A negative request ("please do not") is naide kudasai. Among close people you may drop kudasai and use te alone.
Examples
ちょっと待ってください。
Please wait a moment.
ここに名前を書いてください。
Please write your name here.
写真を撮ってください。
Please take a photo.
Mini-quiz
"doa o ake___." (Please open the door)