Hello MelonPan
What sort of tips are you looking for? I'm not at all familiar with this exam but I imagine the assessment criteria are more or less the same as with the other big international exams. If the level of EIKEN Grade 1 is equivalent to a CEFR C1, then I'd advise you to do lots of practice with your student: Give him some sample questions to answer, assess his answers for grammatical/lexical range and accuracy, pronunciation, organisation, cohesion, and content. Make sure you use real EIKEN questions to do this. Once you've diagnosed his current level, you'll have a better idea as to the kind of input he needs, whether that be topic vocab, functional stuff (e.g. language for expressing opinions), pronunciation work, etc. As with any other student, the approach should be: find out what he can't do with respect to what he needs to do, then teach him how to do it.
To give you more useful and specific advice, it might help us to know how much experience you have. Are you generally easily able to tell which features of language correspond to a C1 (advanced) level?