当前位置：首页>讲义>1.1幂的乘除寒假预习讲义(7知识点+14题型+过关检测) 七年级下册寒假预习(新教材北师大版) 可下载

1.1幂的乘除寒假预习讲义(7知识点+14题型+过关检测) 七年级下册寒假预习(新教材北师大版) 可下载

  • 2026-03-29 10:59:21
1.1幂的乘除寒假预习讲义(7知识点+14题型+过关检测) 七年级下册寒假预习(新教材北师大版) 可下载
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     本讲义适配北师大版七年级下册数学 1.1 幂的乘除寒假自主预习，以 “知识点梳理 + 题型突破 + 过关检测” 为核心架构，精准覆盖 7 个核心知识点，囊括同底数幂的乘、除运算，幂的乘方、积的乘方等重点内容，逐一拆解公式推导、适用条件及易错细节，构建完整知识体系。讲义精选 14 类典型题型，按基础巩固、能力提升分层设计，每道题均附详细解析，步骤清晰、思路明确，手把手指导解题方法，帮助学生吃透题型规律。文末配套过关检测，贴合预习难度，全面检验预习效果，查漏补缺。整体内容贴合新教材考纲，适配七年级寒假预习节奏，兼顾基础性与实用性，助力学生衔接旧知、夯实新知，轻松掌握幂的乘除运算技巧，为新学期课堂学习筑牢基础。

内容展示

（因篇幅有限，展示部分内容）

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  1. CONNECT:[ UseTime:0.000511s ] mysql:host=127.0.0.1;port=3306;dbname=a_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000699s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000318s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000290s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000537s ]
  6. SELECT * FROM `set` [ RunTime:0.000243s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000561s ]
  8. SELECT * FROM `article` WHERE `id` = 468219 LIMIT 1 [ RunTime:0.002086s ]
  9. UPDATE `article` SET `lasttime` = 1775415182 WHERE `id` = 468219 [ RunTime:0.005175s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000600s ]
  11. SELECT * FROM `article` WHERE `id` < 468219 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000481s ]
  12. SELECT * FROM `article` WHERE `id` > 468219 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000433s ]
  13. SELECT * FROM `article` WHERE `id` < 468219 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.001082s ]
  14. SELECT * FROM `article` WHERE `id` < 468219 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.001078s ]
  15. SELECT * FROM `article` WHERE `id` < 468219 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.006473s ]
0.088916s