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向量数量积10大题型全解【可下载打印】

  • 2026-11-03 18:23:35
向量数量积10大题型全解【可下载打印】

【格式】word 可编辑 可打印

【版本】学生版本 老师版本

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   这份《平面向量数量积十种常考题型》涵盖定义辨析、几何图形计算、垂直关系、模与夹角、共线定理、坐标法、三角形四心、投影、极化恒等式以及综合应用十大题型，每题均附详细解析与一题多解。建议搭配《学生版》先自测、再对解析，效率翻倍。
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2026保育员医疗卫生事业单位招聘考试历年真题|279道题,含题目、答案与解析

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  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000794s ]
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  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000305s ]
  11. SELECT * FROM `article` WHERE `id` < 511311 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000516s ]
  12. SELECT * FROM `article` WHERE `id` > 511311 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000360s ]
  13. SELECT * FROM `article` WHERE `id` < 511311 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000554s ]
  14. SELECT * FROM `article` WHERE `id` < 511311 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000602s ]
  15. SELECT * FROM `article` WHERE `id` < 511311 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000565s ]
0.086084s