2024年河北省初中毕业生升学文化课考试（5）数学.考卷答案试卷答案,我们目前收集并整理关于2024年河北省初中毕业生升学文化课考试（5）数学.考卷答案得系列试题及其答案，更多试题答案请关注微信公众号：考不凡/直接访问www.kaobufan.com(考不凡)
2024年河北省初中毕业生升学文化课考试（5）数学.考卷答案试卷答案
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分析直接运用组合数的两条性质，${C}_{n}^{m}$=${C}_{n}^{n-m}$和${C}_{n}^{m}$+${C}_{n}^{m+1}$=${C}_{n+1}^{m+1}$，运算求解．
解答解：根据组合数的性质一：${C}_{n}^{m}$=${C}_{n}^{n-m}$，
所以，原式=${C}_{3}^{3}$+${C}_{4}^{3}$+${C}_{5}^{3}$+${C}_{6}^{3}$+…+${C}_{2013}^{3}$，
再根据组合数的性质二：${C}_{n}^{m}$+${C}_{n}^{m+1}$=${C}_{n+1}^{m+1}$，且${C}_{3}^{3}$=${C}_{4}^{4}$，
原式=${C}_{4}^{4}$+${C}_{4}^{3}$+${C}_{5}^{3}$+${C}_{6}^{3}$+…+${C}_{2013}^{3}$，
=${C}_{5}^{4}$+${C}_{5}^{3}$+${C}_{6}^{3}$+…+${C}_{2013}^{3}$，
=${C}_{6}^{4}$+${C}_{6}^{3}$+…+${C}_{2013}^{3}$，
=${C}_{2014}^{4}$，
故选：C．
点评本题主要考查了组合及组合数公式的运算，尤其是组合的两点性质，属于中档题．
