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2003年全国高考数学试题(新课程卷)第4题巧妙地把向量的加法、轨迹问题、平面几何的知识(三角形的“四心”)交汇在一个背景中,用向量表达了题目丰富的内涵,是广大师生评价极高的一道优秀试题.各级各类考试命题者在“品味”此题玄妙的同时,匠心独运、深挖细究、纵联横拓,精心编制出以此题为载体的新颖综合题,它们极富思考性和挑战性,颇具研讨价值. 2003年全国高考数学新课程卷第4题:
The 4th problem of the National College Mathematics Exam Questionnaire (New Curriculum Volume) in 2003 conciliates the addition of vectors, the problem of trajectories, and the knowledge of plane geometry (the “four hearts” of triangles) in a single background. The vector expresses the richness of the topics. It is an excellent question that is highly evaluated by teachers and students at all levels. At the same time, all types of examination propositions at various levels are immersing themselves in the “taste” of this topic. They are meticulously crafted out of this topic. The novel comprehensive questions of carriers, they are highly reflective and challenging, and worth studying. In 2003, the new mathematics curriculum for National College Entrance Examination, Volume 4: