source stringclasses 5 values | sourcename stringclasses 1 value | question stringclasses 5 values | answer stringclasses 5 values | id stringclasses 5 values | lang stringclasses 2 values |
|---|---|---|---|---|---|
2023BJ_2023年新高考北京卷-数学/01Q.en | 北京新高考数学卷 | Given sets $M=\{x|x+2\geq 0\},N=\{x|x-1<0\}$, find $M \cap N$. | $\{x|-2\leq x < 1\}$ | Q1 | en |
2023BJ_2023年新高考北京卷-数学/02Q.en | 北京新高考数学卷 | In the complex plane, a complex number $z$ has coordinates $(-1,\sqrt{3})$, what is its conjugate $\bar{z}$? | $-1-\sqrt{3}i$ | Q2 | en |
2023BJ_2023年新高考北京卷-数学/03Q.en | 北京新高考数学卷 | Vectors $\vec{a},\vec{b}$ satisfy $\vec{a}+\vec{b} = (2,3), \vec{a}-\vec{b}=(-2,1)$. Find $\lvert\vec{a}\rvert^{2} - \lvert\vec{b}\rvert^{2}$. | -1 | Q3 | en |
2023BJ_2023年新高考北京卷-数学/04Q.en | 北京新高考数学卷 | 解方程 $2x^2 - 4x + 1 = 0$，求 $x$ 的值。 | $x = 2 \pm \sqrt{3}$ | Q4 | zh |
2023BJ_2023年新高考北京卷-数学/05Q.en | 北京新高考数学卷 | If $f(x) = x^2 + 3x + 2$, find the vertex of the parabola represented by $f(x)$. | The vertex is at $(-\frac{3}{2}, -\frac{1}{4})$. | Q5 | en |
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