"Thrown down" is a phrase that is commonly used to describe an action of forcefully bringing someone to the ground or causing something to fall down abruptly. There are several synonyms that can be used for this phrase, such as "slammed," "dropped," "cast," "hurled," "flung," "tossed," and "pitched." These words bear similar meanings to "thrown down" but they each have their unique context and usage. For instance, while "slammed" denotes an action of forcefully closing something, "dropped" indicates a movement in the downward direction with a loss of grip or control. The choice of which synonym to use depends on the particular context or situation.