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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