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数学(广州卷)(参考答案及评分标准)_2数学总复习_赠送:2024中考模拟题数学_三模(42套)_数学(广州卷)

  • 2026-02-12 13:31:46 2026-02-06 00:04:29

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数学(广州卷)(参考答案及评分标准)_2数学总复习_赠送:2024中考模拟题数学_三模(42套)_数学(广州卷)
数学(广州卷)(参考答案及评分标准)_2数学总复习_赠送:2024中考模拟题数学_三模(42套)_数学(广州卷)
数学(广州卷)(参考答案及评分标准)_2数学总复习_赠送:2024中考模拟题数学_三模(42套)_数学(广州卷)
数学(广州卷)(参考答案及评分标准)_2数学总复习_赠送:2024中考模拟题数学_三模(42套)_数学(广州卷)
数学(广州卷)(参考答案及评分标准)_2数学总复习_赠送:2024中考模拟题数学_三模(42套)_数学(广州卷)
数学(广州卷)(参考答案及评分标准)_2数学总复习_赠送:2024中考模拟题数学_三模(42套)_数学(广州卷)
数学(广州卷)(参考答案及评分标准)_2数学总复习_赠送:2024中考模拟题数学_三模(42套)_数学(广州卷)
数学(广州卷)(参考答案及评分标准)_2数学总复习_赠送:2024中考模拟题数学_三模(42套)_数学(广州卷)
数学(广州卷)(参考答案及评分标准)_2数学总复习_赠送:2024中考模拟题数学_三模(42套)_数学(广州卷)

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2024 年中考第三次模拟考试(广州卷) 数学·参考答案 一、选择题(本大题共10个小题,每小题3分,共30分.在每个小题给出的四个选 项中,只有一项符合题目要求的) 1 2 3 4 5 6 7 8 9 10 A D C D C B A B C C 第二部分 非选择题(共90分) 二、填空题(本大题共6个小题,每小题3分,共18分) 11. 12. 13. 或 度 14. 15. 16. 三、解答题(本大题共9小题,共72分.解答应写出文字说明,证明过程或演算步 骤) 17.(本小题满分4分) 解:方程变形得: ,(2分) 即 , 解得: , .(4分) 18.(本小题满分4分) 证明: 是 的中点, . , ∴∠ADE=∠DBC(1分) 在∆ADE和 中,, . (2分) ,(3分) .(4分) 19.(本小题满分6分) 解:∵小明从这四枚徽章中随机抽取两枚, ∴用列表法如下图所示: ,(3分) 设:抽到的两枚徵意中有一枚是会徽徽章为事件 , 根据上方列表可知,共有12种情况,其中有6种符合情况, ∴ .(6分) 20.(本小题满分6分) (1)如图,△ABC 即为所求作.(2分) 1 1 1 (2)如图,△ABC 即为所求作,点B 的坐标为(1,3). 1 2 2 2 故答案为:(1,3). (4分) (3)点C 绕点A 旋转到C 所经过的路径长= = π, 1 1 2 故答案为: π.(6分)21.(本小题满分8分) 解: = = = (4分) (2) = = = = (8分) 22.(本小题满分10分) (1)解:设 与 的函数关系式为: ,(1分) 将点 代入得: ,(3分) 解得: ∴ 与 的函数关系式为: (6分) (2)解:配套,理由如下: 当 时, ∴一把高 的椅子和一张高为 的课桌是配套的(10分) 23.(本小题满分10分) (1)解:如图所示,点F即为所求;(1分) ∵四边形 是正方形, ∴ , ∴ ,∴ , ∴ ; (6分) (2)解:∵ , ∴ ,即 , ∴ .(10分) 24.(本小题满分12分) (1)解:将点A的坐标为 代入直线 中, 得 , 解得: , ∴ , ∴ , ∴反比例函数解析式为 , 由 , 解得 或 , ∴点B的坐标为 ;(3分) (2)解:如图,作 轴于点E, 轴于点F,则 ,, ∴ , ∴ , , ∴ , , , , ∴ , 作点B关于y轴的对称点 ,连接 交y轴于点G,则 即为 的最小值, ∵B,(-2, 3),C(6,1) ∴B,C=√(-2-6) 2+(3-1) 2=2√17, ∴BG+CG=B,C=2√17, 设 的解析式为 , ∵B,(-2, 3),C(6,1), ∴ , 解得: , 解析式为 ,当 时, , 5 G(0, );(7分) 2 (3)解:存在.理由如下:(8分) 当点P在x轴上时,如图, 设点 的坐标为 ,过点B作 轴于点M, 四边形 是矩形, ∴∠OBP =900, 1 ∵∠OMB=∠OBP =900,∠BOM=∠POB, 1 1 ∴ , ∴ , , , , ∴ , , 经检验符合题意, ∴点 的坐标为 ;(10分) 当点P在y轴上时,过点B作 轴于点N,如图2,设点 的坐标为 , 四边形 是矩形, ∴∠OBP =900, 2 ∵∠ONB=∠PBO=900,,, , 2 ∴ , ∴ , 即 , ∴ , 经检验符合题意, ∴点 的坐标为 , 综上所述,点P的坐标为 或 .(12分) 25.(本小题满分12分) (1)如图1, 交 于点 , 四边形 和四边形 都是正方形, , , , , , , 是 的中点, ,, ; , , , , , , , 故答案为: , ;(4分) (2)成立,理由如下:(5分) 如图2,延长 到点 ,使 ,连接 ,则 , , , , , , , , , , , 同理 , , , , , , , ,, .(8分) (3)如图3,延长 到点 ,使 ,连接 交 于点 ,连接 、 , , , 垂直平分 , , 由翻折得 , , , , , , , , 当点 与点 重合时, ,此时 的值最小, 的值也最小, , , , , 的最小值为 , 故答案为: .(12分)
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  1. CONNECT:[ UseTime:0.001088s ] mysql:host=127.0.0.1;port=3306;dbname=wenku;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001470s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000715s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000695s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001702s ]
  6. SELECT * FROM `set` [ RunTime:0.000634s ]
  7. SHOW FULL COLUMNS FROM `wendang` [ RunTime:0.001591s ]
  8. SELECT * FROM `wendang` WHERE `id` = 135139 LIMIT 1 [ RunTime:0.001123s ]
  9. UPDATE `wendang` SET `liulancishu` = 7 WHERE `id` = 135139 [ RunTime:0.001506s ]
  10. UPDATE `wendang` SET `lasttime` = 1773094505 WHERE `id` = 135139 [ RunTime:0.001197s ]
  11. SELECT * FROM `wendang` WHERE `id` < 135139 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.001063s ]
  12. SELECT * FROM `wendang` WHERE `id` > 135139 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.001314s ]
  13. SELECT * FROM `wendang` WHERE `id` <> 135139 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.003471s ]
  14. SELECT * FROM `wendang` WHERE `id` <> 135139 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.006813s ]
  15. SELECT * FROM `wendang` WHERE `id` <> 135139 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.004098s ]
0.195711s