The factory lies --northeast of the city.Aon Bto C inD\,答案是D

一,先说说lie的用法：lie表方位“位于…”常与介词搭配,常是介词＋the＋方向.
1、lie to表两地相隔一定距离,如：Shanghai lies to the south of Beijing.
2、lie in前者位于后者范围之内,如：Guangzhou lies in the south of China.
3、lie on前后两者相邻,如：Shandong lies on the east of Henan.
#注意了吗?lie加介词后面都加了the
二、再说东南西北表方位的名词east/south/west/north/southeast/southwest/northwest/northeast
以上8个单词兼有三种词性:名词/形容词/副词,eastern/southern/western/northern/southeastern/southwestern/northwestern/northeastern以上8个单词只做形容词
用以上的词表达方向的结构有四种：
1.in/on/to+the+方向名词+of+某地
2.in/on/to+the+方向形容词(-ern)+part of+某地
3.in/on/to+(大写的)方向名词/方向形容词+(大写)某地:专有名词
4.方向副词+of+某地（大家应该知道副词是不加the修饰的,the只修饰名词,形容词）
这个题目就属于是第四种情况方位副词不加the,又因为没有the,所以lie后也不用介词.
举个一样的例子：
eg：Anhui lies east of China.
=Anhui lies in the eastern part of China.