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2025-2026九上洛阳市期末数学试卷及分析

  • 2026-02-11 18:16:53
2025-2026九上洛阳市期末数学试卷及分析
试卷难度一如既往秉承“多思少算”的理念，能否读懂题目，能否提高立意去分析题目，决定了以下题目完成的难度：
10题，如何找到PD+PE的最小值，可以利用三角形三边关系探究，可得最小值在共线，即D,P,E三点共线的时候。
12题，只盯着最后一句，容易忽略第一次向上。
15题，两次旋转，很容易转晕，但是，把三角形ACB逆时针旋转60°后，使得AC与AD重合，则B'D=BC=5，可清楚看到，D的轨迹是绕B旋转的圆，这时候BD的最小值容易求得。
21题，第二问，能否化繁为简的看出来BE等于DE，即等腰。问题就简单很多。
23题，点D 的位置要从AB上方，下方，左边，右边四个位置讨论。这样结果就有四个，但是上面左边和右边结果一样，所以最终答案是三种。
另外，23题，也是利用了旋转手拉手，需要自己构造与点C共点的等腰直角三角形。
卷子整体对灵活性要求较高。
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研心·学百年|红色洛阳

二环 郑州市 超四代宅 150多个

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  1. CONNECT:[ UseTime:0.000381s ] mysql:host=127.0.0.1;port=3306;dbname=i460;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000640s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.004501s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.002148s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000604s ]
  6. SELECT * FROM `set` [ RunTime:0.003228s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000675s ]
  8. SELECT * FROM `article` WHERE `id` = 473052 LIMIT 1 [ RunTime:0.001606s ]
  9. UPDATE `article` SET `lasttime` = 1770952125 WHERE `id` = 473052 [ RunTime:0.002769s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000244s ]
  11. SELECT * FROM `article` WHERE `id` < 473052 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000440s ]
  12. SELECT * FROM `article` WHERE `id` > 473052 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000385s ]
  13. SELECT * FROM `article` WHERE `id` < 473052 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.015523s ]
  14. SELECT * FROM `article` WHERE `id` < 473052 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.046299s ]
  15. SELECT * FROM `article` WHERE `id` < 473052 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.025239s ]
0.172976s