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【初联代数】260111讲义分享

  • 2026-04-06 21:46:26
【初联代数】260111讲义分享

课上例题

1. 已知 

且 ，求  的值．

2. 已知关于  的不等式  的解集为 ，则关于  的不等式  的解集为 ______．

3. 设 

且 ，求代数式  的值．

4. 若实数  满足

则  ______．

5. 已知实数  满足 ，实数  满足 ，则 （ ）．

A. 
B. 
C. 
D. 

6. 已知实数  满足 

且 ．当  时，函数  恒成立，求常数  的取值范围．

课后强化训练

1. 若方程 

和  有公共根，求  的值．

2. 设  为四个不同的实数，若  为方程 

的根， 为方程  的根，求  的值．

3. 设 ，函数 

则  的最小值为（ ）．
A. 
B. 
C. 
D. 前三个选项都不对

4. 已知 

则代数式  的最小值是（ ）．
A. 
B. 
C. 
D. 
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  1. CONNECT:[ UseTime:0.000973s ] mysql:host=127.0.0.1;port=3306;dbname=a_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001698s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000836s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000725s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001531s ]
  6. SELECT * FROM `set` [ RunTime:0.000625s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001534s ]
  8. SELECT * FROM `article` WHERE `id` = 460319 LIMIT 1 [ RunTime:0.000940s ]
  9. UPDATE `article` SET `lasttime` = 1777172844 WHERE `id` = 460319 [ RunTime:0.034084s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.005349s ]
  11. SELECT * FROM `article` WHERE `id` < 460319 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.001408s ]
  12. SELECT * FROM `article` WHERE `id` > 460319 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.003989s ]
  13. SELECT * FROM `article` WHERE `id` < 460319 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.035523s ]
  14. SELECT * FROM `article` WHERE `id` < 460319 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.001275s ]
  15. SELECT * FROM `article` WHERE `id` < 460319 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.019372s ]
0.232217s