_______ , I stretched my hand for it.
A. I saw the book I wanted across the desk
B. The book I wanted was across the desk
C. Seeing the book lying across the desk
D. Lying across the desk
解析：选C。考查分词作状语。分词作状语时，其逻辑主语应与句子主语保持一致。根据这一原则，可知see的逻辑主语与I保持一致。如果选A或B，句中没有连词，不能构成并列句或主从复合句，此时要选用非谓语动词形式，排除A、B两项；D项逻辑主语与句子主语不一致，故选C。
独具【方法技巧】分词作状语
谈到分词作状语，除judging from, generally speaking等固定用法外，用现在分词还是过去分词的判断依据就是分词所表示的动作与句子主语的逻辑关系：主谓关系用现在分词，动宾关系用过去分词。
Hearing the news, they all danced for joy.
听到这一消息，他们都高兴地跳起舞来。
Seeing the cat, the mouse ran off.
一见到猫，老鼠就跑掉了。
Wounded, the brave soldier continued to fight.
虽然受了伤，这名勇敢的战士还继续战斗。