第一部分：选择题
1. 选择题详解及答案解析
题目：下列数中，哪个数是有理数？
A. \(\sqrt{2}\)
B. \(\pi\)
C. \(\frac{3}{4}\)
D. \(0.1010010001...\)
答案解析：
- A. \(\sqrt{2}\) 是无理数，因为它不能表示为两个整数的比。
- B. \(\pi\) 是无理数，同样不能表示为两个整数的比。
- C. \(\frac{3}{4}\) 是有理数，因为它可以表示为两个整数的比。
- D. \(0.1010010001...\) 是无理数，因为它是一个无限不循环小数。
正确答案：C
第二部分：填空题
2. 填空题详解及答案解析
题目：如果 \(a = 2\)，\(b = 3\)，那么 $a^2 + b^2 = ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________