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数学奥林匹克高中训练题(269)
【出 处】
:
中等数学
【发表日期】
:
2021年11期
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As a multicellular organism,rice flourishes relying on gene expression diversity among cells of various functions.However,cellular-resolution transcriptome features are yet to be fully recognized,let alone cell-specific transcriptional responses to enviro
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第51届IMO预选题几何部分第一题为:rn题1 设锐角△ABC边BC、CA、AB的高的垂足分别为D、E、F,直线EF与△ABC的外接圆的一个交点为P,直线BP与DF交于点Q.证明:AP =AQ.[1]rn笔者在证明此题时将点C一侧补全,调整了字母顺序,得到题2.rn题2 设锐角△ABC边BC、CA、AB的高的垂足分别为D、E、F,直线EF与△ABC的外接圆的两个交点分别为M、N(M在劣弧(AB)上),直线BM与DF、CN与DE分别交于点P、Q.证明:PQ∥BC.
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决赛rn1.对某些正整数n>m,数n既可以表示为2021个加数的和,其中,每个加数均为m的非负整数次方幂数,又可以表示为2 021个加数的,其中,每个加数均为m+1的非负整数次方幂数.试问:对于怎样的最大的m有此可能(即使只存在一个n>m)?
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Interception,degradation and contributions of terrestrial organic carbon obtained from lignin analys
Understanding the fate of terrestrial organic carbon (OC) in a cascade impoundment system is critical for recognizing the role of carbon sink for reservoirs.Surface sediments collected from eight cascade reservoirs across the Wujiang River,southwestern Ch
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