小学、初中、高中各种试卷真题知识归纳文案合同PPT等免费下载www.doc985.com高中2022级第二学年末教学质量测试数学参考答案及评分标准一、选择题：本题共8小题，每小题5分，共40分．1．A2．D3．B4．C5．D6．D7．B8．C二、选择题：本大题共3小题，每小题6分，共18分。在每小题给出的四个选项中，有多项符合题目要求。全部选对的得6分，选对但不全的得部分分，有选错的得0分．9．ABD10．CD11．ABC三、填空题：本题共3个小题，每小题5分，共15分．12．；13．；14．4．四、解答题：本题共5小题，第15题13分，第16、17小题15分，第18、19小题17分，共77分．解答应写出文字说明、证明过程或演算步骤．15．解：（1）高二年级至少2名同学入选校队包括以下情况：高二年级仅2名同学入选校队有种；········································2分高二年级仅3名同学入选校队有种；·········································3分高二年级4名同学入选校队有种；·············································4分高二年级至少2名同学入选校队共有18+12+1=31种选法．··························6分（2）由题意可知，随机变量X的取值为0，1，2，3，································7分校队由0个女生4个男生组成时，，···························8分校队由1个女生3个男生组成时，，··························9分校队由2个女生2个男生组成时，，·························10分校队由3个女生1个男生组成时，，························11分所以，随机变量X的分布列为小学、初中、高中各种试卷真题知识归纳文案合同PPT等免费下载www.doc985.comX0123P·····································································································12分随机变量X的均值为：．··························13分16．解：（1），令，则，，·············2分①当a=0时，，所以为增函数，故无极值点；·······3分②当a>0时，当x变化时，及变化如下表：x−a+0−0+递增极大值递减极小值递增由此表可知的极值小点为，其极大值点−a；···································5分③当a<0时，当x变化时，及变化如下表：x−a+0−0+递增极大值递减极小值递增由此表可知的极值小点为−a，其极大值点．···································7分综上所述，当a=0时，无极值点；当a>0时，的极值小点为，极大值点−a；当a<0时，的极值小点为−a，其极大值点．·····························8分（2）方法一：假设存在实数a，使得在区间[0，1]的最小值为0，且最大值为1，则[0，1]，；································································9分小学、初中、高中各种试卷真题知识归纳文案合同PPT等免费下载www.doc985.com由已知可得，，则，·············································10分由（1）②可知，在区间[0，]上单调递减，在[，1]上单调递增，∴，···········································11分∴，······················································································13分 ，，则成立，解得：， ，∴当时，，即的最大值为，···14分综上所...