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高考的目的之一是为高校选拔优秀生源,特别是创新、综合能力较强的学生.近年来全国各省市对创新意识的考查表现的尤为突出,涌现出了一些构思新颖、意境深远的命题,从不同的角度考查考生的思维水平.在知识的交汇点处命题,是考查能力的需要,尤其是试卷中的压轴题(包括选择或填空题中的压轴题).如何突破这些压轴题?本文以北京市一道高考模拟题为例,从分化难点的角度入手,达到对压轴题的破解,以期对学生数学学习有所启发.
One of the purposes of the college entrance examination is to select outstanding students for colleges and universities, especially students with strong innovation and comprehensive abilities. In recent years, the examination of innovation consciousness has been particularly prominent in provinces and cities across the country. Some propositions with novel ideas and far-reaching artistic concepts have emerged. Examine the candidate’s thinking level from different angles. The proposition at the meeting point of knowledge is the need to examine the ability, especially the final question in the test paper (including the final question in the choice or fill-in question). How to break through these questions? Take a simulated problem in a college entrance examination in Beijing as an example, starting from the perspective of differentiation difficulties, to solve the problem of the finale in order to inspire students’ mathematics learning.