新高考数学一轮复习讲练测专题6.1平面向量的概念及其运算（练）原卷版

专题6.1平面向量的概念及其运算练基础练基础1．（2020·西藏日喀则上海实验学校高二期中（文））若四边形SKIPIF1<0是矩形，下列说法中不正确的是（）A．SKIPIF1<0与SKIPIF1<0共线 B．SKIPIF1<0与SKIPIF1<0相等C．SKIPIF1<0与SKIPIF1<0是相反向量 D．SKIPIF1<0与SKIPIF1<0模相等2．（2020·全国高一课时练习）已知正六边形SKIPIF1<0，则SKIPIF1<0（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2020·全国高三其他模拟（文））已知两非零向量SKIPIF1<0，SKIPIF1<0，满足SKIPIF1<0，且SKIPIF1<0，则SKIPIF1<0（）A．1 B．3 C．4 D．54．（2020·全国高二课时练习）已知向量SKIPIF1<0，SKIPIF1<0，SKIPIF1<0满足SKIPIF1<0，则（）A．SKIPIF1<0＝SKIPIF1<0＋SKIPIF1<0B．SKIPIF1<0＝－SKIPIF1<0－SKIPIF1<0C．SKIPIF1<0与SKIPIF1<0同向D．SKIPIF1<0与SKIPIF1<0同向5．（2020·全国高二课时练习）若SKIPIF1<0均为非零向量，则“SKIPIF1<0”是“SKIPIF1<0与SKIPIF1<0共线”的（）A．充分不必要条件B．必要不充分条件C．充分必要条件D．既不充分也不必要条件6．（2020·全国高一课时练习）下列关于向量的命题正确的是（）A．若SKIPIF1<0，则SKIPIF1<0 B．若SKIPIF1<0，则SKIPIF1<0C．若SKIPIF1<0，SKIPIF1<0，则SKIPIF1<0 D．若SKIPIF1<0，SKIPIF1<0，则SKIPIF1<07．（2020·江苏高三专题练习）设SKIPIF1<0，SKIPIF1<0为非零向量，则“SKIPIF1<0∥SKIPIF1<0”是“SKIPIF1<0与SKIPIF1<0方向相同”的（）A．充分而不必要条件 B．必要而不充分条件C．充分必要条件 D．既不充分也不必要条件8．（2020·天津市军粮城中学高一月考）下列说法正确的是（）A．SKIPIF1<0，SKIPIF1<0则SKIPIF1<0B．起点相同的两个非零向量不平行C．若SKIPIF1<0，则SKIPIF1<0与SKIPIF1<0必共线D．若SKIPIF1<0则SKIPIF1<0与SKIPIF1<0的方向相同或相反9．（2020·广东高三专题练习）在SKIPIF1<0中，已知点SKIPIF1<0是边SKIPIF1<0上靠近点A的一个三等分点，则SKIPIF1<0（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<010．（2020·海南鑫源高级中学高一期末）已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0与SKIPIF1<0的夹角SKIPIF1<0，则SKIPIF1<0（）A．10 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0练提升TIDHNEG练提升TIDHNEG1．（2020·江苏镇江市·高一月考）已知正方形SKIPIF1<0的边长为2，点P满足SKIPIF1<0，则SKIPIF1<0的值为（）A．2 B．SKIPIF1<0 C．4 D．SKIPIF1<02．（2020·江苏镇江市·高一月考）若向量SKIPIF1<0满足：SKIPIF1<0，且SKIPIF1<0与SKIPIF1<0的夹角为SKIPIF1<0，则SKIPIF1<0在SKIPIF1<0上的投影向量为（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2020·晋中市·山西寿阳县一中高一月考）已知向量SKIPIF1<0，若SKIPIF1<0间的夹角为SKIPIF1<0，则SKIPIF1<0（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2020·河北高三其他模拟（文））已知正三角形SKIPIF1<0的边长为2，点SKIPIF1<0满足SKIPIF1<0，则SKIPIF1<0的值为（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2020·青海西宁市·湟川中学高一期末）已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，若SKIPIF1<0，则SKIPIF1<0的最小值为（）A．6 B．SKIPIF1<0 C．3 D．SKIPIF1<06．（2020·湖北武汉市第十一中学高一月考）已知O是SKIPIF1<0所在平面内的一定点，动点P满足SKIPIF1<0，则动点P的轨迹一定通过SKIPIF1<0的（）A．内心 B．外心 C．重心 D．垂心7．（2020·江苏镇江市·高一月考）已知SKIPIF1<0是平面上夹角为SKIPIF1<0的两个单位向量，SKIPIF1<0在该平面上，且SKIPIF1<0，则下列结论中正确的有（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0与SKIPIF1<0不可能垂直 D．SKIPIF1<08．（2020·全国高考真题（理））设SKIPIF1<0为单位向量，且SKIPIF1<0，则SKIPIF1<0______________.9．（2020·江西吉安市·高三其他模拟（理））向量SKIPIF1<0，SKIPIF1<0满足SKIPIF1<0，SKIPIF1<0，SKIPIF1<0与SKIPIF1<0的夹角为120°，则SKIPIF1<0___________.10．（2020·江苏镇江市·高一月考）已知向量SKIPIF1<0满足SKIPIF1<0，SKIPIF1<0的夹角为SKIPIF1<0，（1）若SKIPIF1<0，求SKIPIF1<0的值；（2）若SKIPIF1<0，求SKIPIF1<0的最小值．练真题TIDHNEG练真题TIDHNEG1．（2020·海南高考真题）在SKIPIF1<0中，D是AB边上的中点，则SKIPIF1<0=（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02.（2021·浙江高考真题）已知非零向量SKIPIF1<0，则“SKIPIF1<0”是“SKIPIF1<0”的（）A．充分不必要条件 B．必要不充分条件C．充分必要条件 D．既不充分又不必要条件3．（2020·全国高考真题（文））已知单位向量SKIPIF1<0，SKIPIF1<0的夹角为60°，则在下列向量中，与SKIPIF1<0垂直的是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2019·全国高考真题（文））已知非零向量a，b满足=2，且（a–b）b，则a与b的夹角为（