Definition

1. Noun:
   • Key, solution: The correct answer or set of answers to a problem, exercise, or test, especially in an academic context like mathematics, physics, or logic.
   • Solved example: A model or worked-out demonstration of how to solve a particular type of problem, often provided for instruction.

Usage Examples

• Noun:
  • Giáo viên đã đưa ra bài giải cho bài toán khó. (The teacher provided the solution to the difficult math problem.)
  • Học sinh nên tự làm bài tập trước khi xem bài giải. (Students should do the exercises themselves before looking at the answer key.)
  • Cuốn sách này có nhiều bài giải mẫu rất hữu ích. (This book has many very useful solved examples.)

Advanced Usage

• "bài giải mẫu": model solution, worked example.
  • Phần phụ lục cung cấp các bài giải mẫu cho kỳ thi. (The appendix provides model solutions for the exam.)

Variants and Related Words

• Lời giải (n): solution, explanation. Often used interchangeably with "bài giải," but "lời giải" can be slightly more abstract, referring to the reasoning or explanation behind the answer.

  • Lời giải của anh ấy rất sáng tạo. (His solution is very creative.)

• Đáp án (n): answer key, set of correct answers. This term is often used for multiple-choice tests or simpler exercises where a full solution process is not shown.

  • Đáp án của bài kiểm tra sẽ được công bố vào ngày mai. (The test answer key will be announced tomorrow.)

Synonyms

• Solution: The method or process of solving a problem.
• Answer key: A document listing correct answers.
• Worked example: A step-by-step demonstration of a solution.

Related Idioms

• (There is no solution/key for this problem.) – Used figuratively to indicate a complex life situation with no clear answer.

1. Key, solution