2026年丽水高三数学高考三模冲刺卷：圆锥曲线定点定值专题（重点高中联盟第5套）含参考答案、逐题解析与评分细则

2026年丽水高三数学高考三模冲刺卷：圆锥曲线定点定值专题（重点高中联盟第5套）含参考答案、逐题解析与评分细则丽水市重点高中联盟（第5套）2026届高三数学高考三模冲刺卷专题：圆锥曲线定点定值科目：数学满分：150分考试时间：120分钟学校：______________班级：______________姓名：______________准考证号：______________卷面定位2026年丽水高三数学高考三模冲刺；圆锥曲线定点定值专题；重点高中联盟第5套。题型结构单项选择题8题40分；多项选择题4题20分；填空题4题20分；解答题6题70分。注意事项客观题答案写入答题栏；多项选择题全选对得5分，少选且无错选得2分，有错选得0分；主观题写在指定作答区，步骤清楚、书写规范。一、单项选择题（本大题共8小题，每小题5分，共40分。在每小题给出的四个选项中，只有一项符合题目要求。）1.设集合A={x∣xA.−1,C.−2,2.复数z=1−A.55B.C.25D.3.已知α∈0,π2A.43+C.43−4.函数fxA.−∞,C.−∞,5.椭圆x29+y24=1的左、右焦点分别为A.2B.3C.4D.56.正方体ABCD−AA.30°B.45°C.60°D.907.随机变量X服从二项分布B4,1A.16/81B.65/81C.32/81D.80/818.双曲线x2a2A.72B.C.2D.13二、多项选择题（本大题共4小题，每小题5分，共20分。全部选对得5分，少选且无错选得2分，有错选得0分。）9.已知等比数列{an}满足aA.公比q=2或q=C.a1+a10.椭圆E：x2A.离心率e=C.点1,3211.设fx=lnA.fx≤0对一切x>0C.f(x)在x=1处取得最小值D.方程12.抛物线C：y2A.若直线斜率存在，可设为y=kC.以AB为直径的圆恒过原点OD.A、B两点处的切线交点在准线x=选择题答题栏：题号123456789101112答案三、填空题（本大题共4小题，每小题5分，共20分。把答案填在题中横线上。）13.函数fx=x14.椭圆x225+y29=1的焦点为15.直线x+y+16.抛物线y2四、解答题（本大题共6小题，共70分。解答应写出文字说明、证明过程或演算步骤。）17.（10分）在△ABC中，内角A，B，C所对的边分别为a，b，c。已知cosA=35，b=作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________18.（12分）丽水市重点高中联盟对50名高三学生进行圆锥曲线专题训练，成绩（满分20分）分组如下表。成绩区间[10,12)[12,14)[14,16)[16,18)[18,20]人数4816148（1）用组中值估计本次训练的平均分；（2）从成绩不低于16分的学生中按比例分层抽取11人，再从这11人中随机抽取2人，求至少1人来自[18,20]的概率；（3）若某同学独立完成4道定点定值小题，每题做对概率均为3/4，记做对题数为X，求PX作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

19.（12分）如图形关系用文字描述：四棱锥P−ABCD的底面ABCD为矩形，A作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________20.（12分）椭圆E：x24+y2作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

21.（12分）抛物线C：y2=4作答区：___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________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22.（12分）已知函数fax=x−alnx（x>作答区：___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________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参考答案与详解客观题答案速查表题号12345678910111213141516答案BBAACDBAA、C、DA、B、CA、B、DA、B、D13−16分值5555555555555555逐题解析1.答案：B。解析：x2−3x−4<0解