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南京、盐城一模的朴素、硬核压轴题

  • 2026-04-30 23:46:58
南京、盐城一模的朴素、硬核压轴题
    这个题出得很好
  ①看前面，它主要考察了学生圆的基本性质应用，比如由圆幂定理巧妙得到需要的坐标之比 。
    把这个方法抽象，用在第二问，即可得数列递推式 。
②看压轴问，虽然朴素，但对学生可不简单。
     首先：从非单调性这个必要性得到参数关键考虑范围，哈哈，会发现第一问已经出现这个界限。
   其次：由这个必要，得到m=1,  解下来，如果不想再单调性分析，可以针对答案，设定一个否定性递推（这种往往比较直接、省力）
   同学们，可以先动手试试。下面是老师比巧文字，边计算写得一个过程，供参考：
------------------------------------------------------------------------
   昨天苏北七市试卷质量很高，从创新度和难度分布上。那种试卷小题和大题都有好题。  我最喜欢的还是简单而有趣的18题和19题--一眼看透本质的同学，应该非常短时间就能完成。试卷就应该这样出
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  1. CONNECT:[ UseTime:0.000890s ] mysql:host=127.0.0.1;port=3306;dbname=b460;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001815s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000562s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.001173s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001912s ]
  6. SELECT * FROM `set` [ RunTime:0.000510s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001622s ]
  8. SELECT * FROM `article` WHERE `id` = 515929 LIMIT 1 [ RunTime:0.000963s ]
  9. UPDATE `article` SET `lasttime` = 1777720256 WHERE `id` = 515929 [ RunTime:0.001393s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000547s ]
  11. SELECT * FROM `article` WHERE `id` < 515929 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000962s ]
  12. SELECT * FROM `article` WHERE `id` > 515929 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.001009s ]
  13. SELECT * FROM `article` WHERE `id` < 515929 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.002171s ]
  14. SELECT * FROM `article` WHERE `id` < 515929 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.001551s ]
  15. SELECT * FROM `article` WHERE `id` < 515929 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.003872s ]
0.160312s