Many teachers have come to realize that one of the keys ____

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Many teachers have come to realize that one of the keys ____ their students lose interests in their subjects is to changes ways of teaching.
A.to not letting B.not to let C.not to letting D.to letting not

the key to ...意思是 ...的钥匙；...的关键.
这里的to是介词,所以要在介词后面进行否定,即 the key to not...
而 let 是实意动词,介词后面需要将其改为动名词,就是 the key to not letting.
选A

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