天壹联盟 2024年普通高中学业水平选择性考试冲刺压轴卷(三)3数学试卷答案,我们目前收集并整理关于天壹联盟 2024年普通高中学业水平选择性考试冲刺压轴卷(三)3数学得系列试题及其答案，更多试题答案请关注我们

天壹联盟 2024年普通高中学业水平选择性考试冲刺压轴卷(三)3数学试卷答案

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分析消元整理可得x+3y+q（1-2x）=0，由直线系的知识解方程组可得．

解答解：∵p，q满足p+2q-1=0，∴p=1-2q，
代入直线方程px+3y+q=0可得（1-2q）x+3y+q=0，
整理可得x+3y+q（1-2x）=0，
解方程组$\left\{\begin{array}{l}{x+3y=0}\\{1-2x=0}\end{array}\right.$可得$\left\{\begin{array}{l}{x=\frac{1}{2}}\\{y=-\frac{1}{6}}\end{array}\right.$，
∴直线px+3y+q=0必过定点（$\frac{1}{2}$，-$\frac{1}{6}$）
故选：C．

点评本题考查直线系方程，涉及消元思想和方程组的解法，属基础题．