to finding vs to findwhy is "to finding",what is the difference between "to finding" and "to find"1)Confidence,cooperation and responsibility are the keys to finding a solution to the global financial meltdown,Chinese Premier Wen Jiabao said on Satur

to finding vs to find
why is "to finding",what is the difference between "to finding" and "to find"
1)
Confidence,cooperation and responsibility are the keys to finding a solution to the global financial meltdown,Chinese Premier Wen Jiabao said on Saturday.
2)
Confidence,cooperation and responsibility are the keys to find a solution to the global financial meltdown,Chinese Premier Wen Jiabao said on Saturday.

第一句里的宾语短语其实是 keys to something...而这里的something 是finding a solution.key to 是什么的钥匙,比如,我房间的钥匙,key to my room door.形容相应的钥匙时,跟在 key to 后面的是名词.
第二句里宾语是 the keys,what are the keys for?-> to find a solution to the ...

to用作介词时，后面接ing分词；
如果是不定式的to，则接动词原形。