promise (someone) the stars/moon/earth/world
: to promise (someone) that you will do or give something great or wonderful even though it is not possible对某人许下不可能实现的承诺;给某人开空头支票 -
He promised her the stars and the moon, but he never even bought her flowers.他给她开了一大堆空头支票,可连一支花儿也没给她买过。
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Politicians will promise the earth when they're trying to get elected.政客们在竞选时会给出一大堆不可能实现的承诺。