Q: Does the word "be" mean the same thing in "I shall be writing to you soon." and "It had been six days since his departure, when I received a letter from him."?

A: the same meaning

Q: Does the word "facility" mean the same thing in "He was famous for his facility as an archer." and "A cell phone with internet facility."?

A: different meanings

Q: Does the word "fit" mean the same thing in "How does this shirt fit?" and "The small shirt doesn't fit me, so I'll buy the medium size."?

A: the same meaning

Q: Does the word "crash" mean the same thing in "Let's crash the party!" and "The economy crashed."?

A:
different meanings