解答：注意前面的句子是一般过去时，说明动作发生在过去。may/might可以表示推测。从现在的角度推测现在的事情，则应该用may/might +动词原形(may和might没有时间上的差别，只有可能性大小的差别。may的可能性要大于might)；若从现在的角度推测过去的事情，应该用may/might+完成式（have+过去分词）(may和might没有时间上的差别，只有可能性大小的差别。may的可能性要大于might)；如果从过去的角度推测当时的情况，应该用might+动词原形（本句就属于这一种。因为前面句子是过去时，故后面的句子要用过去时的might，不能用may）。如：
He is not at home. He may/might go shopping.
He looks tired. He may/might not have slept well last night.
He was not at work. He might be ill.
He is not at home. He may/might go shopping.
He looks tired. He may/might not have slept well last night.
He was not at work. He might be ill.
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