一、填空题概述
填空题是高考数学卷中常见的一种题型，它要求考生在题目中留白的空格处填入合适的数学表达式、数值或符号。这种题型既考察了考生的基本知识，也考察了考生的逻辑思维能力和计算能力。下面，我们将从技巧和真题详解两个方面来探讨山东新高考数学卷填空题的解题策略。
二、填空题解题技巧
1. 理解题意，准确审题
填空题的解题第一步是理解题意。考生在答题前，要仔细阅读题目，确保自己对题目的要求有清晰的认识。在审题过程中，要注意以下几点：
- 题目的背景信息
- 题目的关键词
- 题目的限制条件
2. 运用公式，巧解题目
在解答填空题时，熟练掌握各类公式是关键。以下是一些常见的公式和技巧：
- 三角函数公式
- 数列通项公式
- 平面向量运算
- 概率与统计公式
3. 演绎推理，寻找规律
填空题往往具有一定的规律性，考生可以通过演绎推理来寻找规律，从而解答题目。以下是一些寻找规律的技巧：
- 分析题目中的数据变化
- 寻找题目中的隐含条件
- 构建数学模型
4. 综合运用，灵活解题
在解答填空题时，考生要灵活运用各种解题技巧，将题目中的信息进行整合，形成完整的解题思路。以下是一些综合运用的技巧：
- 将实际问题转化为数学问题
- 运用数形结合思想
- 运用数学归纳法
三、真题详解
1. 2020年山东高考数学卷填空题真题
（1）设函数\(f(x) = ax^2 + bx + c\)，若\(f(1) = 1\)，\(f(2) = 2\)，则$a = ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________