洋县中学高考试卷及答案
一、单项选择题(每题2分,共10题)
1.函数\(y=x^2\)的导数是()
A.\(2x\)B.\(x\)C.\(2\)D.\(0\)
2.下列元素中,金属性最强的是()
A.\(Na\)B.\(Mg\)C.\(Al\)D.\(Si\)
3.直线\(y=2x+1\)的斜率是()
A.\(1\)B.\(2\)C.\(3\)D.\(4\)
4.\(\sin30^{\circ}\)的值为()
A.\(\frac{1}{2}\)B.\(\frac{\sqrt{2}}{2}\)C.\(\frac{\sqrt{3}}{2}\)D.\(1\)
5.等差数列\(\{a_n\}\)中,\(a_1=1\),\(a_3=5\),则公差\(d\)为()
A.\(1\)B.\(2\)C.\(3\)D.\(4\)
6.函数\(y=\log_2x\)的定义域是()
A.\((0,+\infty)\)B.\((-\infty,0)\)C.\((0,1]\)D.\([1,+\infty)\)
7.已知向量\(\vec{a}=(1,2)\),\(\vec{b}=(2,m)\),若\(\vec{a}\parallel\vec{b}\),则\(m\)的值为()
A.\(1\)B.\(2\)C.\(3\)D.\(4\)
8.抛物线\(y^2=4x\)的焦点坐标是()
A.\((1,0)\)B.\((0,1)\)C.\((2,0)\)D.\((0,2)\)
9.不等式\(x^2-3x+2\lt0\)的解集是()
A.\((1,2)\)B.\((-\infty,1)\cup(2,+\infty)\)C.\([1,2]\)D.\((-\infty,1]\cup[2,+\infty)\)
10.若\(\cos\alpha=-\frac{3}{5}\),且\(\alpha\)是第二象限角,则\(\sin\alpha\)的值为()
A.\(\frac{4}{5}\)B.\(-\frac{4}{5}\)C.\(\frac{3}{5}\)D.\(-\frac{3}{5}\)
二、多项选择题(每题2分,共10题)
1.下列函数中,是偶函数的有()
A.\(y=x^2\)B.\(y=\cosx\)C.\(y=\sinx\)D.\(y=x^3\)
2.以下哪些是等比数列的性质()
A.\(a_{n+1}^2=a_n\cdota_{n+2}\)B.\(S_n=\frac{a_1(1-q^n)}{1-q}\)(\(q\neq1\))
C.\(a_n=a_1q^{n-1}\)D.\(a_m+a_n=a_p+a_q\)(\(m+n=p+q\))
3.下列属于基本不等式的有()
A.\(a^2+b^2\geq2ab\)B.\(a+b\geq2\sqrt{ab}\)(\(a\gt0,b\gt0\))
C.\(\frac{a+b}{2}\geq\sqrt{ab}\)(\(a\gt0,b\gt0\))D.\(a^2-b^2=(a+b)(a-b)\)
4.直线\(Ax+By+C=0\)(\(A,B\)不同时为\(0\))的斜率可能为()
A.\(-\frac{A}{B}\)(\(B\neq0\))B.不存在(\(B=0\))
C.\(\frac{A}{B}\)(\(B\neq0\))D.\(0\)
5.下列关于平面向量的说法正确的是()
A.向量\(\vec{a}\)与\(\vec{b}\)平行,则\(\vec{a}=\lambda\vec{b}\)(\(\lambda\)为实数)
B.\(\vert\vec{a}+\vec{b}\vert\leq\vert\vec{a}\vert+\vert\vec{b}\vert\)
C.\(\vec{a}\cdot\vec{b}=\vert\vec{a}\vert\vert\vec{b}\vert\cos\theta\)(\(\theta\)为\(\vec{a}\)与\(\vec{b}\)的夹角)
D.若\(\vec{a}\cdot\vec{b}