2022年全国体育单招文化考试数学试卷真题及答案
1.若集合A= \{ x \mid -1<x<4,x \in Z \} ,B= \{ x \mid -2<x<1,x \in Z \} ,则AB的元素共有A.1个B.2个C.3个D.4个2.函数f(x)= \log _{2} \sqrt {-x^{2}+2x+3}的定义域是A.(-1,3)B.[-1,3]C.(-3,1)D.[-3,1]3.下列函数中,为增函数的是A.y=- \ln(x+1)B.y=x_{2}-1C.\frac {e^{X}}{2}D.y= \mid x-1 \mid4.函数y=3 \sin x+4 \cos x+1的最小值是A.一7B.一6C.-5D.45.已知O为坐标原点,点A(2,2),M满足\mid AM \mid =2 \mid OM \mid ,则点M的轨迹方程为A.3x^{2}+3y^{2}+4x+4y-8=0B.3x^{2}+3y^{2}-4x-4y-8=0C.x_{2}+y_{2}+4x+4y-4=0D.x2+y^{2}-4x-4y-4=06.从3名男队员和3名女队员中各挑选1名队员,则不同的挑选方法共有A.6种B.9种C.12种D.15种7.\triangle ABC中,已知A=60^{\circ},AC=2,BC= \sqrt {7},则AB=A.4B.3C.2D.18.长方体ABCD-A_{1}B_{1}C_{1}D_{1}中,O是AB的中点,且OD=OB_{1},则A.AB=CC_{1}B.AB=BCC.\angle CBC_{1}=45^{\circ}D.\angle BDB_{1}=45^{\circ}二、填空题:本题共4小题,每小题8分,共32分。请将各题的答案填入答题卡上的相应位置。9.若\sin ^{2} \theta - \cos \theta =- \frac {1}{3},\cos 2 \theta = \ _.10.不等式|1-x \mid >2的解集是_.11.若向量a,b满足|a \mid =2, \mid b \mid =3,且a与b的夹角为