2022年10月浙江省普通高中学业水平考试 .pdf

vip 会员免费20XX 年 10 月浙江省普通高中学业水平考试数学试题一、选择题（本大题共18 小题，每小题3 分，共 54 分。每小题列出的四个备选项中只有一个是符合题目要求的，不选、多选、错选均不得分）1、已知集合A=1，2，3，B=1，3，4，则 AB=（）A.1，3 B.1，2，3 C.1，3，4 D.1，2，3，4 2、已知向量a=(4，3)，则|a|=（）A.3 B.4 C.5 D.7 3、设为锐角，sin=13，则 cos=（）A.23B.23C.63D.2 234、log214=（）A.2 B.12C.12D.2 5、下列函数中，最小正周期为的是（）A.y=sinx B.y=cosx C.y=tanx D.y=sin2x6、函数 y=121xx的定义域是（）A.(1，2 B.1，2 C.(1，2)D.1，2)7、点(0，0)到直线 x+y 1=0 的距离是（）A.22B.32C.1 D.2vip 会员免费8、设不等式0,240,xyxy所表示的平面区域为M，则点(1，0)，(3，2)，(1，1)中在 M 内的个数为（）A.0 B.1 C.2 D.3 9、函数 f(x)=xln|x|的图象可能是（）10、若直线l 不平行于平面，且 l，则（）A.内的所有直线与l 异面B.内只存在有限条直线与l 共面C.内存在唯一直线与l 平行D.内存在无数条直线与l 相交11、图（1）是棱长为1 的正方体ABCD A1B1C1D1截去三棱锥A1AB1D1后的几何体，将其绕着棱DD1逆时针旋转45，得到如图（2）的几何体的正视图为（）12、过圆 x2+y22x8=0 的圆心，且与直线x+2y=0 垂直的直线方程是（）A.2xy+2=0 B.x+2y 1=0 C.2x+y2=0 D.2xy2=0 13、已知 a，b 是实数，则“|a|1 且|b|1”是“a2+b2bc)的一个零点。若存在实数x0，使得 f(x0)0，则 f(x)的另一个零点可能是（）A.x03 B.x012C.x0+32D.x0+2 18、等腰直角ABC 斜边 CB 上的一点P满足 CP14CB，将 CAP 沿 AP 翻折至 C AP，使二面角 C APB 为 60，记直线CA，CB，CP与平面 APB 所成角分别为，则（）A.B.C.D.二、填空题（本大题共4 小题，每空3 分，共 15 分）19、设数列 an 的前 n 项和为 Sn，若 an=2n1，nN*，则 a1=，S3=20、双曲线221916yx的渐近线方程是21、若不等式|2xa|+|x+1|1的解集为R，则实数a 的取值范围是22、正四面体A BCD 的棱长为2，空间动点P 满足|PBPC=2，则AP AD的取值范围是文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9vip 会员免费三、解答题（本大题共3 小题，共31 分）23、（本题 10 分）在 ABC 中，内角 A，B，C 所对的边分别为a，b，c。已知 cosA=12.（1）求角 A 的大小；（2）若 b=2，c=3，求 a 的值；（3）求 2sinB+cos(6+B)的最大值。24、（本题 10 分）如图，抛物线 x2=y 与直线 y=1 交于 M，N 两点。Q 为该抛物线上异于M，N 的任意一点，直线MQ 与 x 轴、y 轴分别交于点A，B，直线 NQ 与 x 轴、y 轴分别交于点 C，D。（1）求 M，N 两点的坐标；（2）证明：B，D 两点关于原点O 对称；（3）设 QBD，QCA 的面积分别为S1，S2，若点 Q 在直线 y=1 的下方，求S2S1 的最小值。文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 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ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9vip 会员免费25、（本题 11 分）已知函数g(x)=t 2x+13x+1，h(x)=t 2x3x，其中 x，tR.（1）求 g(2)h(2)的值（用 t 表示）；（2）定义 1，+)上的函数f(x)如下：f(x)=(),21,2),(),2,21)g x xkkh x xkk（kN*）.若 f(x)在1，m)上是减函数，当实数m 取最大值时，求t 的取值范围。文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 ZQ6U6Q8A2N9文档编码:CU1L3H9B4E8 HL1O10K3H4Q7 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