炎德英才大联考·湖南师大附中2025届高三月考试卷（一）试题(数学)

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炎德英才大联考·湖南师大附中2025届高三月考试卷（一）试题(数学)试卷答案

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分析由a₃a₁₁=4a₇，解出a₇的值，由b₅+b₉=2b₇=2a₇求得结果．

解答解：等比数列{a_n}中，由a₃a₁₁=4a₇，可知a₇²=4a₇，∴a₇=4，
∵数列{b_n}是等差数列，∴b₅+b₉=2b₇=2a₇=8，
故答案为：8．

点评本题考查等差数列、等比数列的性质，求出a₇的值是解题的关键，是基础题．