The teacher’s encouragement doesn’t mean your progress, so you should try your best as well.
A. necessarily
B. directly
C. formally
D. hopefully
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(答案→)A. necessarily
B. directly
C. formally
D. hopefully
解析：A. necessarily 必要地，B. directly直接地，C. formally正式地，D. hopefully 有希望地，句意：老师的鼓励未必意味着你的进步，所以你也要努力。Not necessarily“未必”，所以选A。