助けをお願いするときは、動詞の前に Can you や Could you を置くか、-ing 形の前に Would you mind を置きます。あまり親しくない人には Could you を使い、友達には Can you を使いましょう。
助けを頼む
Can you — Can you help me with this bag?
Could you — Could you open the door?
Would you mind — Would you mind holding this?
やってみよう: Mei: ___ help me with this heavy bag? Lars: Of course. Let me take it. Mei needs help and wants to ask Lars politely. Which fits? (Could you / Let me / Shall I) 答え: Could you — Could you は相手に丁寧に頼む表現なので、Mei の依頼にぴったりです。Let me と Shall I は自分が手助けを申し出るときに使う表現なので、Lars に何かを頼む文にはなりません。
手助けを申し出る
手助けを申し出るときは、自分がそのまま手助けに入るなら動詞の前に Let me、事前に相手に確認するなら Shall I、丁寧で温かみのある申し出なら Would you like me to を使います。
Let me — Let me carry that for you.
Shall I — Shall I call a taxi?
Would you like me to — Would you like me to help?
やってみよう: Camila: I can't reach the top shelf. Farid: ___ get it for you. Choose the offer that means Farid will do it himself. (Let me / Could you / Would you mind) 答え: Let me — Let me はファリードが自分でやると申し出る表現なので合っています。Could you と Would you mind はどちらもカミラに依頼する表現なので、自分から手助けを申し出る形にはなりません。