2022年平面向量部分常见的考试题型总结 .pdf
_ 精品资料平面向量部分常见的题型练习类型（一）：向量的夹角问题1.平面向量ba,，满足4,1ba且满足2.ba，则ba与的夹角为2.已知非零向量ba,满足）（，abbba2，则ba与的夹角为3.已知平面向量ba,满足424)2.(bababa，且）（且，则ba与的夹角为4.设非零向量a、b、c满足cbacba|,|，则ba,5.已知的夹角。与求bababa,7,3,26.若非零向量ba,满足,0).2(bbaba，则ba与的夹角为类型（二）：向量共线问题1.已知平面向量），（xa32，平面向量），（182b若ab，则实数x2.设向量），（），（3212ba若向量ba与向量)74(，c共线，则3.已知向量），（），（xba211若abba24与平行，则实数x的值是（）A-2 B0 C1 D2 _)10,(),54(),12,(.4kCBAkOCOBkOA则三点共线，且，已知向量5已知），（），（），（73231xCBA，设aAB，bBC且ab，则 x 的值为（）(A)0(B)3(C)15(D)18 6已知a=（1，2），b=（-3，2）若 ka+2b与 2a-4b共线，求实数k 的值；7已知a，c是同一平面内的两个向量，其中a=（1，2）若52c，且 a c，求c的坐标8.n 为何值时，向量），（1na与),4(nb共线且方向相同？_ 精品资料9.已知且),2,1(,3 baab，求a的坐标。10.已知向量)2,1(,112cmba），（），（，若（ba）c，则 m=11.已知ba,不共线，badbakc,，如果cd，那么k=,c与d的方向关系是12.已知向量且），（），（,221mbaab，则ba32类型（三）:向量的垂直问题1已知向量babxa且），（)6,3(,1，则实数x的值为2已知向量abbanbna垂直，则与），若，（），（2113已知a=（1，2），b=（-3，2）若 ka+2b与 2a-4b垂直，求实数k 的值4已知4,2 ba，且ba与的夹角为3，若的值垂直，求与kbakbak22。5.已知),1,1(),0,1(ba求当为何值时，aba与垂直？6.已知单位向量mmnnm），求证：（的夹角为和237.已知,24），（a求与a垂直的单位向量的坐标。8.已知向量的值为垂直，则实数与且向量），（bababa2)0,1(,239.kbcakcba，则）若（，），（),2,()3,1(,1310.）满足于（，若向量），（accba)3,2(,21b，_cbac），则（类型（四）投影问题1 已知，4,5 ba，ba与的夹角32，则向量b在向量a上的投影为2 在RtABC中，ACABACC.,4,2则3关于caba.且0a，有下列几种说法：)(cba；bc；0).(cbab在a方向上的投影等于c在a方向上的投影；ab；cb文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6_ 精品资料其中正确的个数是（）（A）4 个（B）3 个（C）2 个（D）1 个类型（四）求向量的模的问题1.已知零向量bbabaa，则），（25,10.,122.已知向量ba,满足bababa，则2,2,13.已知向量a)3,1(，bab，则)0,2(4已知向量baba则),cos,1(),sin,1(的最大值为5.设点M是线段BC的中点，点A在直线BC外，（）则 AMACABACABBC,162(A)8(B)4(C)2(D)1 6.设向量a，b满足1ba及334ba，求ba53的值7.已知向量ba,满足，3.,5,2baba求baba和8.设向量a，b满足的值为则babaaba2),2(,2,1类型（五）平面向量基本定理的应用问题1若a=（1，1），b=（1，-1），c=（-1，-2），则c等于（）(A)ba2321(B)ba2321(C)ba2123(D)ba21232.已知baccba的值，使和），求，（），（），（0111013.设ee21,是平面向量的一组基底，则当_,21时，02211ee4.下列各组向量中，可以作为基底的是（）(A)2,1(),0,0(21ee(B)7,5(),2,1(21ee(C)10,6(),5,3(21ee(D)43,21(),3,2(21ee文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6_ 精品资料5.（），则，（），（），（ccba241111(A)ba3(B)ba3(C)ba3(D)ba3dcdcdcmRmbamdbacbaba求平行与若为何值时）当（）（，的夹角为与已知,)2?(,1623,2,3.6类型（六）平面向量与三角函数结合题1.已知向量(2sin,cos)42xxm，(cos,3)4xn，设函数()f xm n求函数()f x 的解析式（2）求()f x 的最小正周期；（3）若0 x，求()f x 的最大值和最小值2.已知322，A、B、C 在同一个平面直角坐标系中的坐标分别为(3,0)A、(0,3)B、(cos,sin)C。(I)若|ACBC，求角的值；(II)当1AC BC时，求22sinsin(2)1tan的值。3.已知ABC的三个内角A、B、C 所对的三边分别是a、b、c，平面向量)sin(,1(ABm，平面向量).1),2sin(sinACn（I）如果,3,3,2SABCCc的面积且求 a 的值；（II）若,nm请判断ABC的形状.4.已知向量)cos2,(sin),sin,2(2xxbxa,函数baxf)(1)求)(xf的周期和单调增区间；(2)若在ABC中，角CBA,所对的边分别是cba,，CbBcacoscos)2(，求)(Af的取值范围。文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6_ 精品资料.cos,20,1010)sin()2(;cossin120)cos,1(),2,(sin.5的值求若的值和）求（），（相互垂直，其中已知平面向量ba.)(sintan2cos)()2(;tan)1(0.),2,1(),cos,(sin.6的值域求函数的值求且已知向量RxxAxxfAnmnAAm.,3,32)2(;)1.(21.2sin2cos2sin2cos.7的值求的面积为若的大小求角），且，（），（的对边，的内角分别为，已知cbSABCaAnmAAnAAmCBAABCcba的取值范围。）求组基底？（不能作为平面向量的一，为何值时，向量）当）（，（），）（，（已知bababa221310cossin.8文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6_ 精品资料Welcome To Download!欢迎您的下载，资料仅供参考！文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6文档编码:CK6O6P7T5V3 HA7R8X1Y9S2 ZV3T8V3T8E6
