2019-2020学年湖北省黄冈市高二上学期期末考试数学试题 扫描版

黄冈市2019年秋季高二期末考试数学参考答案一、选择题：DCBAACADBBBD二、填空题：13.3；14.64；15.3（2分），SKIPIF1<0（3分）；16.SKIPIF1<0（2分），SKIPIF1<0或SKIPIF1<0（3分）三、解答题：17.解：SKIPIF1<0，SKIPIF1<0·····················4′（1）∵SKIPIF1<0∴SKIPIF1<0∴SKIPIF1<0·············7′（2）∵SKIPIF1<0∴SKIPIF1<0∴SKIPIF1<0··································································10′解：（1）一、二、三等品各取到一个的概率为SKIPIF1<0········4′X的取值为0,1,2SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,····10′SKIPIF1<0的分布列为SKIPIF1<0012SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0········11′∴SKIPIF1<0·····························12′19.解：（1）设在区间[75，85]内频率为SKIPIF1<0，则有SKIPIF1<0∴SKIPIF1<0∴SKIPIF1<0即落在区间[65，75)内的频率为0.1··················3′（2）SKIPIF1<0SKIPIF1<0······························································7′（3）依题意有SKIPIF1<0∴即为SKIPIF1<0∴SKIPIF1<0··························9′则至少有一个落在区间SKIPIF1<0内的概率SKIPIF1<0·········12′20.解：如图建立空间直角坐标系.PABCDEFPABCDEFxyz（1）设平面SKIPIF1<0的法向量SKIPIF1<0则SKIPIF1<0，SKIPIF1<0∴SKIPIF1<0令SKIPIF1<0则SKIPIF1<0∴SKIPIF1<0又SKIPIF1<0∴SKIPIF1<0又SKIPIF1<0∴SKIPIF1<0······································6′（2）设平面SKIPIF1<0的法向量为SKIPIF1<0∴SKIPIF1<0,SKIPIF1<0,SKIPIF1<0∴SKIPIF1<0得SKIPIF1<0令SKIPIF1<0，∴SKIPIF1<0∴SKIPIF1<0故二面角SKIPIF1<0的余弦值为SKIPIF1<0·······························12′21．解：（1）由SKIPIF1<0得SKIPIF1<0令SKIPIF1<0得SKIPIF1<0由表格得：SKIPIF1<0∴SKIPIF1<0又SKIPIF1<0∴SKIPIF1<0∴SKIPIF1<0∴SKIPIF1<0··································8′（2）SKIPIF1<0SKIPIF1<0即SKIPIF1<0时，SKIPIF1<0取最小值················································11′答：温度为25°C时，培育成本最小.·········································22.解（1）依题意有：SKIPIF1<0..............4分产品被接受的概率SKIPIF1<0...........8分（3）Y的取值为：1000元、1100元、1200元、1300元。SKIPIF1<0SKIPIF1<0,SKIPIF1<0SKIPIF1<0，分布列为：Y10001