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2004年高考数学试题(广东卷)第21题第(2)问中给出了一个新定理(介值定理),要求学生透彻地理解新定理,准确地把握新定理,灵活地运用新定理,进而解决所给出的新问题.解决这类问题的关键就是创设新定理所需要满足的条件,然后运用新定理的结论来解决问题.这类问题极富思考性和挑战
A new theorem (intermediate value theorem) was given in Question 21 of the 2004 Mathematics Exam Question in the College Entrance Examination (Guangdong Vol.), requiring students to thoroughly understand the new theorem, accurately grasp the new theorem, and apply the new theorem flexibly. In order to solve the new problems given, the key to solving such problems is the conditions that need to be satisfied to create new theorems, and then use the conclusions of the new theorems to solve the problems. Such problems are highly reflective and challenging.