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The Chinese preposition "向" (xiàng) is primarily used to indicate direction or orientation. It can be translated as "towards" or "to" in English.
In the sentence "你向西边看,看见西山了吗?" (Nǐ xiàng xī biān kàn, kàn jiàn xī shān le ma?), "向" indicates the direction in which the subject is looking, specifically towards the west. The phrase can be understood as "Are you looking towards the west? Did you see the western mountain?"
In another example, "他向图书馆走去了。" (Tā xiàng tú shū guǎn zǒu qù le.), "向" again denotes direction, meaning "He walked towards the library." Here, it emphasizes the movement of the subject in the direction of the library.
Overall, "向" is a versatile preposition used to express directionality in both physical movement and metaphorical contexts.