早教吧作业答案频道 -->数学-->
如图,在平行六面体ABCD-A1B1C1D1中,M为AC与BD的交点,若=,=,=.则下列向量中与相等的向量是()A.-++B.C.D.--+
题目详情
![](https://www.zaojiaoba.cn/zhidao/pic/item/bd315c6034a85edfe662e6934c540923dc547597.jpg)
![](https://www.zaojiaoba.cn/zhidao/pic/item/0823dd54564e9258a3da9e5e9982d158cdbf4e97.jpg)
![](https://www.zaojiaoba.cn/zhidao/pic/item/810a19d8bc3eb1354f29af0ba31ea8d3fc1f4497.jpg)
![](https://www.zaojiaoba.cn/zhidao/pic/item/241f95cad1c8a78641e652be6209c93d71cf50b5.jpg)
![](https://www.zaojiaoba.cn/zhidao/pic/item/6609c93d70cf3bc711ccd55cd400baa1cc112ab5.jpg)
![](https://www.zaojiaoba.cn/zhidao/pic/item/c8177f3e6709c93dfc1c16479a3df8dcd0005497.jpg)
![](https://www.zaojiaoba.cn/zhidao/pic/item/9345d688d43f87943a33509ed71b0ef41ad53ab5.jpg)
![](https://www.zaojiaoba.cn/zhidao/pic/item/50da81cb39dbb6fdfb97fd960c24ab18962b37b5.jpg)
A.-
![](https://www.zaojiaoba.cn/zhidao/pic/item/7c1ed21b0ef41bd50ebdf04454da81cb38db3d97.jpg)
![](https://www.zaojiaoba.cn/zhidao/pic/item/e7cd7b899e510fb3bbd56f27dc33c895d0430cb5.jpg)
![](https://www.zaojiaoba.cn/zhidao/pic/item/43a7d933c895d14314bafc9376f082025baf07b5.jpg)
![](https://www.zaojiaoba.cn/zhidao/pic/item/a50f4bfbfbedab64c1be5570f236afc378311eb5.jpg)
B.
![](https://www.zaojiaoba.cn/zhidao/pic/item/ac4bd11373f08202e77c898f4efbfbedaa641b97.jpg)
C.
![](https://www.zaojiaoba.cn/zhidao/pic/item/cefc1e178a82b9019b61db83768da9773812efb6.jpg)
D.-
![](https://www.zaojiaoba.cn/zhidao/pic/item/78310a55b319ebc47d966e298726cffc1f171697.jpg)
![](https://www.zaojiaoba.cn/zhidao/pic/item/728da9773912b31b6782d5998318367adbb4e190.jpg)
![](https://www.zaojiaoba.cn/zhidao/pic/item/86d6277f9e2f0708ceeb32b0ec24b899a801f290.jpg)
▼优质解答
答案和解析
由题意可得
=
+
=
+
=
+
[
-
],化简得到结果.
【解析】
由题意可得
=
+
=
+
=
+
=
+
(
-
)
=
+
(
-
)=-![](http://hiphotos.baidu.com/zhidao/pic/item/c995d143ad4bd113c824af825fafa40f4afb0590.jpg)
+
+
,
故选A.
![](http://hiphotos.baidu.com/zhidao/pic/item/0bd162d9f2d3572ce40c846c8f13632763d0c390.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/908fa0ec08fa513dd966746e386d55fbb3fbd9b6.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/09fa513d269759ee3c9f787bb7fb43166c22dfb6.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/91529822720e0cf3d91e564b0f46f21fbf09aa90.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/0b46f21fbe096b63e2d646e009338744eaf8acb6.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/8644ebf81a4c510fc20bfaaa6559252dd52aa5b6.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/242dd42a2834349b21ef7635ccea15ce37d3be90.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/e850352ac65c10387c97d672b7119313b17e8990.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/faf2b2119313b07efe5448b809d7912396dd8c90.jpg)
【解析】
由题意可得
![](http://hiphotos.baidu.com/zhidao/pic/item/96dda144ad3459828e45fd2209f431adcaef84b6.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/4ec2d5628535e5ddb1c5bd6f73c6a7efcf1b6290.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/6d81800a19d8bc3ecac71e7a878ba61ea9d345b6.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/838ba61ea8d3fd1fc0c6ba8a354e251f94ca5fb6.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/241f95cad1c8a78641e552be6209c93d71cf50b6.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/5fdf8db1cb13495467f7f0d4534e9258d0094a90.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/b2de9c82d158ccbf1b55ad8a1cd8bc3eb0354190.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/d53f8794a4c27d1e72e923741ed5ad6edcc438b6.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/ac6eddc451da81cb9e299b7d5766d016082431b6.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/5366d0160924ab183ad9f98730fae6cd7a890bb6.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/9e3df8dcd100baa15fc55f0b4210b912c9fc2e90.jpg)
=
![](http://hiphotos.baidu.com/zhidao/pic/item/bba1cd11728b47102cc6e57cc6cec3fdfd032390.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/0ff41bd5ad6eddc4f40eac4b3cdbb6fd53663390.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/42a98226cffc1e17457094814f90f603728de9b7.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/9f510fb30f2442a76fe7e515d443ad4bd0130290.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/c995d143ad4bd113c824af825fafa40f4afb0590.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/86d6277f9e2f0708ceca32b0ec24b899a801f2b7.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/1c950a7b02087bf4fb234f59f7d3572c10dfcfb7.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/3812b31bb051f8195fcc1bfadfb44aed2f73e791.jpg)
故选A.
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