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1、.专业技术资料2019-2020年高考数学小题综合训练3 1已知Uy|ylog2x，x1，Py y1x，x2，则?UP等于()A.12，B.0，12C(0，)D(，0)12，答案A 解析由集合U中的函数ylog2x，x1，解得y0，所以全集U(0，)，同样P0，12，得到?UP12，.2“a0”是“函数f(x)x3ax在区间(0，)上是增函数”的()A必要不充分条件B充分不必要条件C充要条件D既不充分也不必要条件答案B 解析当a0 时，f(x)3x2a0 在区间(0，)上恒成立，即f(x)在(0，)上是增函数，充分性成立；当f(x)在区间(0，)上是增函数时，f(x)3x2a0在(0，)上恒成
2、立，即a 0，必要性不成立，故“a0”是“函数f(x)x3ax在区间(0，)上是增函数”的充分不必要条件第 1 页，共 12 页.专业技术资料3已知函数f(x)sin x，0 x 1，log2 010 x，x1，若a，b，c互不相等，且f(a)f(b)f(c)，则abc的取值范围是()A(1,2 010)B(1,2 011)C(2,2 011)D2,2 011 答案C 解析因为a，b，c互不相等，不妨设abc，则 0ab1c，由f(a)f(b)知，a，b关于直线x12对称，所以ab1.由 0log2 010c1，知 1c2 010，所以 2abcn，执行循环体，a4，s16，k2；不满足条件k
3、n，执行循环体，a4，s52，k3；不满足条件kn，执行循环体，a4，s160，k4；不满足条件kn，执行循环体，a4，s484，k5.由题意，此时应该满足条件kn，退出循环，输出s的值为 484，可得 5n 4，所以输入n的值为 4.8(2x1)11x6的展开式中的常数项是()A 5 B7 C 11 D13 答案C 解析11x6的展开式的通项公式是Ck61xk，其中含1x的项是C161x1，常数项为C061x01，故(2x1)11x6的展开式中的常数项是2x C161x1 1 1 121 11.第 5 页，共 12 页文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J
4、4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3
5、HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J
6、4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3
7、HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J
8、4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3
9、HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J
10、4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2.专业技术资料9把正方形ABCD沿对角线AC折起，当以A，B，C，D四点为顶点棱锥体积最大时，直线BD和平面ABC所成角的大小为()A 90 B 60 C 45 D 30 答案C 解析如图，当DO平面ABC时，三棱锥DABC的体积最大 DBO为直线BD和平面ABC所成的角，在 Rt DOB中，ODOB，直线BD和平面ABC所成角的大小为45.10在区间 1,1上任取两数s和t，则关于x的方程x22sxt0 的两根都是正数的概率为(
11、)A.124B.112C.14D.13答案B 解析由题意可得，1s 1，1t 1，其区域是边长为2 的正方形，面积为 4，由二次方程x22sxt 0 有两正根，可得4s24t 0，2s0，t0，第 6 页，共 12 页文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ
12、8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S
13、9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ
14、8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S
15、9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ
16、8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S
17、9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2.专业技术资料即s2t，s0，其区域如图阴影部分所示，面积S?01s2ds13s30 113，所求概率P134112.11椭圆x2y2b21(
18、0b1)的左焦点为F，上顶点为A，右顶点为B，若FAB的外接圆圆心P(m，n)在直线yx的左下方，则该椭圆离心率的取值范围为()A.22，1B.12，1C.0，22D.0，12答案A 解析方法一如图所示，右顶点B(1,0)，上顶点A(0，b)，左焦点F(1b2，0)，线段FB的垂直平分线为x11b22.线段AB的中点坐标为12，b2.kABb，第 7 页，共 12 页文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V
19、1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G
20、3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V
21、1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G
22、3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V
23、1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G
24、3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V
25、1J4N2.专业技术资料 线段AB的垂直平分线的斜率k1b，线段AB的垂直平分线方程为yb21bx12，把x11b22m，代入上述方程，可得yb21b22bn.由P(m，n)在直线yx的左下方，可得mn0，11b22b21b22b0，化简得b1b2，又 0b1，解得 0b22.ecac1b222，1，椭圆离心率的取值范围为22，1.方法二设A(0，b)，B(a,0)，F(c,0)，设FAB的外接圆的方程为x2y2DxEyF0，将A，B，F代入外接圆方程，解得mca2，nb2ac2b.由P(m，n)在直线yx的左下方，可知mn0，ca2b2ac2b0，整理得 1cbcb0，bcbcb0，第 8
26、页，共 12 页文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9
27、Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8
28、L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9
29、Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8
30、L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9
31、Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8
32、L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2.专业技术资料bcb2，即c2a2c2,2c2a2,2e21，由 0e1，解得22e1，椭圆离心率的取值范围为22，1.12已知正数x，y，z满足x2y2z21，则S1z2xyz的最小值为()A3 B.33 12C4 D2(21)答案C 解析由题意可得0z1,01 z0，2xy 8 0，xm，则实数m的取值范围是_ 答案(1，)解析由题意作出
33、其平面区域，由y 3x，yx4，解得A(1，3)故m 1.第 10 页，共 12 页文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 H
34、R6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4
35、N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 H
36、R6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4
37、N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 H
38、R6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4
39、N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2.专业技术资料15已知 ABC的内角A，B，C的对边分别为a，b，c，若 cos B14，b4，sin A2sin C，则ABC的面积为 _ 答案15 解析根据余弦定理的推论cos Ba2c2b22ac，可得14a2c2422ac，化简得 2a2 2c232 ac.(*)又由
40、正弦定理asin Acsin C，可得acsin Asin C21，即a2c，代入(*)式得2(2c)22c232 2cc，化简得c24，所以c2，则a4，又B(0，)，则 sin B1cos2B154，SABC12acsin B12 4 215415，即ABC的面积为15.16已知双曲线x2a2y2b2 1(a0，b0)上一点C，过双曲线中心的直线交双曲线于A，B两点，记直线AC，BC的斜率分别为k1，k2，当2k1k2ln|k1|ln|k2|最小时，双曲线的离心率为第 11 页，共 12 页文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8
41、S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 Z
42、Z8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8
43、S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 Z
44、Z8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8
45、S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 Z
46、Z8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8
47、S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2.专业技术资料_ 答案3 解析设A(x1，y1)，C(x2，y2)，由题意知，点A，B为过原点的直线与双曲线x2a2y2b21 的交点，由双曲线的对称性，得A，B关于原点对称，B(x1，y1)，k1k2y2y1x2x1y2y1x2x1y22y21x22x21，点A，C都在双曲线上，x21a2y21b21，x22a2y22b21，两式相减，可得k1k2b2a20，对于2k1k2ln|k1|ln|k2|2k1k2ln|k1k2|，设函数y2xln x，x0，由
48、y2x21x0，得x2，当x2 时，y 0，当 0 x2 时，y 0 取得最小值，当2k1k2ln(k1k2)最小时，k1k2b2a22，e1b2a23.第 12 页，共 12 页文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8
49、S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 Z
50、Z8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8S9Y2G3 HR6J3O5P2G1 ZZ8L2V1J4N2文档编码:CQ3G8