Here is what a famous source says:
"A prepositional verb [my emphasis] of this same unusual [my emphasis] pattern is strike ... as in, for example: He struck me as a brilliant strategist."
The source explains that "a brilliant strategist" is subject complement.
2. Another source reminds us that "The preposition [my emphasis] in a prepositional verb [my emphasis] must precede its complement."
a. I guess that means that "It strikes me odd as" is not possible.
IF you believe those two sources, you may wish to consider "as" in #1 as a preposition.
ONLY my thoughts. If "as" is a preposition, I ask myself: How can an adjective such as "odd" follow it? I have an explanation, but I do not want to spread possibly wrong ideas. Maybe a teacher will give us the answer to that puzzle.
"A famous source" is A Comprehensive Grammar of the English Language (1985 edition) by Randolph Quirk, et al., page 1,200.
"Another source" is A Grammar of Contemporary English (1973) by Quirk and Greenbaum, page 349.
P.S. On page 736 of the first source, we are told:
" 'She struck me as happy' cannot occur in the passive, and therefore may ... be considered [a middle verb]."
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