2010-2018江苏高考立体几何试题汇编(文).pdf

20102018 年高考立体几何试题汇编1、考纲要求：柱、锥、台、球及简单组合体A 柱、锥、台、球的外表积和体积A 平面及其性质 A 直线与平面平行、垂直的判定及性质B 两平面平行、垂直的判定及性质 B 2、高考解读：通常一大一小，填空题主要考查空间几何体的外表积与体积，解答题主要考查空间的平行与垂直关系，其中三年也考查以几何体为背景的应用题。这些题目难度不大，主要考查学生的基础知识和空间转换能力。属于中档题。一、空间几何体的外表积与体积75 分 2012?江苏如图，在长方体 ABCDA1B1C1D1中，AB=AD=3cm，AA1=2cm，则四棱锥 ABB1D1D 的体积为cm38 5 分 2013?江苏如图，在三棱柱A1B1C1ABC 中，D，E，F 分别是 AB，AC，AA1的中点，设三棱锥FADE 的体积为 V1，三棱柱 A1B1C1ABC的体积为 V2，则 V1：V2=8 5 分 2014?江苏设甲、乙两个圆柱的底面积分别为S1，S2，体积分别为 V1，V2，假设它们的侧面积相等，且=，则的值是9 5 分 2015?江苏现有橡皮泥制作的底面半径为5，高为 4 的圆锥和底面半径为 2，高为 8 的圆柱各一个，假设将它们重新制作成总体积与高均保持不变，但底面半径相同的新的圆锥和圆柱各一个，则新的底面半径为6 5 分 2017?江苏如图，在圆柱O1O2内有一个球 O，该球与圆柱的上、下底面及母线均相切，记圆柱 O1O2的体积为 V1，球 O 的体积为 V2，则的值是10 5 分 2018?江苏如下图，正方体的棱长为2，以其所有面的中心为顶点的多面体的体积为二、空间点、线、面的位置关系 1614 分 2010?江苏如图，在四棱锥 PABCD中，PD 平面 ABCD，PD=DC=BC=1，AB=2，AB DC，BCD=901求证：PC BC；2求点 A 到平面 PBC的距离文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8文档编码:CX2I5J10D1V9 HO2N1Y9L9O6 ZZ10L2P7Q6W8 16 14 分 2011?江苏如图，在四棱锥PABCD中，平面 PAD 平面 ABCD，AB=AD，BAD=60，E、F 分别是 AP、AD 的中点，求证：1直线 EF 平面 PCD；2平面 BEF 平面 PAD文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4 1614 分2012?江苏 如图，在直三棱柱 ABCA1B1C1中，A1B1=A1C1，D，E分别是棱 BC，CC1上的点点 D 不同于点 C，且 AD DE，F 为 B1C1的中点求证：1平面 ADE 平面 BCC1B1；2直线 A1F 平面 ADE文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4 16 14 分 2013?江苏如图，在三棱锥SABC中，平面 SAB 平面SBC，AB BC，AS=AB，过 A 作 AF SB，垂足为 F，点 E，G 分别是棱 SA，SC的中点求证：1平面 EFG 平面 ABC；2BC SA 文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4 16 14 分 2014?江苏如图，在三棱锥PABC中，D，E，F 分别为棱 PC，AC，AB 的中点，已知 PA AC，PA=6，BC=8，DF=5求证：1直线 PA 平面 DEF；2平面 BDE 平面 ABC文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4 1614 分2015?江苏 如图，在直三棱柱 ABCA1B1C1中，已知 AC BC，BC=CC1，设 AB1的中点为 D，B1C BC1=E求证：1DE 平面 AA1C1C；2BC1AB1文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4 16 14 分 2016?江苏如图，在直三棱柱ABCA1B1C1中，D，E 分别为 AB，BC的中点，点 F 在侧棱 B1B 上，且 B1D A1F，A1C1A1B1求证：1直线 DE 平面 A1C1F；2平面 B1DE 平面 A1C1F文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT7I1O6A6W4文档编码:CU6W1A4Z10N4 HS9A9I8I8F7 ZT