如图,点O是
的两条对角线的交点,
,
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7a93a1399ff7a2bde342652479241b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75a315e9f51f51d004dd884f06d5d85b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eca8aa7145b2327dbccba46da05bb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5d8050c84e6744f38347cba73304a0a.png)
20-21高一·全国·课后作业 查看更多[4]
(已下线)6.2.2 向量的减法运算(已下线)6.2 平面向量的运算-2021-2022学年高一数学10分钟课前预习练(人教A版2019必修第二册)(已下线)第02讲 向量的加减运算-【帮课堂】2021-2022学年高一数学同步精品讲义(苏教版2019必修第二册)苏教版(2019)必修第二册课本例题9.2.1 向量的加减法
更新时间:2021-12-03 20:22:38
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【推荐1】如图,O是正六边形ABCDEF的中心,且
,
,
.在以A,B,C,D,E,F,O这七个点中任意两点为起点和终点的向量中,问:
![](https://img.xkw.com/dksih/QBM/2022/2/19/2920033504534528/2921740758450176/STEM/bf351fc8-7a68-4415-81ab-b66ae1b5473d.png?resizew=154)
(1)与
相等的向量有哪些?
(2)
的相反向量有哪些?
(3)与
共线的向量有哪些?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a9cb32a25c2a8bb99f75633b4cd5ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/049131856ba841523793ee3d83099014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eca8aa7145b2327dbccba46da05bb86.png)
![](https://img.xkw.com/dksih/QBM/2022/2/19/2920033504534528/2921740758450176/STEM/bf351fc8-7a68-4415-81ab-b66ae1b5473d.png?resizew=154)
(1)与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
(3)与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
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【推荐2】如图所示,△ABC的三边均不相等,E,F,D分别是AC,AB,BC的中点.
共线的向量;
(2)写出与
的模大小相等的向量;
(3)写出与
相等的向量.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b5a51e65e9b56a9970de33ead263a9.png)
(2)写出与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b5a51e65e9b56a9970de33ead263a9.png)
(3)写出与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b5a51e65e9b56a9970de33ead263a9.png)
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【推荐1】作五边形
,求作下列各题中的和向量:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca379d60c10cbcadedf9ee8bfe38d702.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0947ba548824b1b0119531a01a4bff39.png)
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解题方法
【推荐2】如图,
为边长为1的正六边形,O为其几何中心.
![](https://img.xkw.com/dksih/QBM/2022/3/6/2930339636363264/2941229177929728/STEM/fabb9853b27a484886eca99141d9954b.png?resizew=173)
(1)化简
;
(2)化简
;
(3)化简
;
(4)求向量
的模.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://img.xkw.com/dksih/QBM/2022/3/6/2930339636363264/2941229177929728/STEM/fabb9853b27a484886eca99141d9954b.png?resizew=173)
(1)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6669d7f9ef4909151e687c57ccd5a95d.png)
(2)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ff1b0c20d57c6439bbab684a08cb67.png)
(3)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88f403d83e92d738bacf7aeffbf17ba2.png)
(4)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ce1e5cdeb987df86f74d89798747fd.png)
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解题方法
【推荐1】已知
,
,
,
,求
与
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14390e9b6b44472bdc7a131133ab39b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cd14dfc0024459f9d8e594c95c5106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1812885b1d0ff678b834db0a7d268e32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3fb287f30165e558dd5ac66d862ac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985a67e5e24e049558cd5289b6ee9ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebcc52a06d806fde891e09a0a389fcd4.png)
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解题方法
【推荐2】如图,已知正三角形
的边长为1,设
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/4a65fceb-8961-475b-a758-c1428000d629.png?resizew=152)
(1)若
是
的中点,用
,
表示向量
;
(2)求
与
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f968d4bca2443672e4f7295a6360e316.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/4a65fceb-8961-475b-a758-c1428000d629.png?resizew=152)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbba7bff7720b3aa33f29936ede7819e.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/644f8f9cc6000b283ee7414580801864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c57559180de4a0203bc2497bcaa3eb.png)
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【推荐3】(1)化简![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e4b722f937660ab039a7e733452b38b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ea7950b83538f786f47143c6644cd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ed9c2e9fabbfc63733bae8fa079d00.png)
(2)如图,平行四边形
中,
分别是
的中点,
为BF与DE的交点,若
=
,
,试以
,
为基底表示
、
、
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e4b722f937660ab039a7e733452b38b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ea7950b83538f786f47143c6644cd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ed9c2e9fabbfc63733bae8fa079d00.png)
(2)如图,平行四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/514e17265d4ca55292afc778c1af5f41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b54aa2b7f9adf409f0ce8e00615432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed2cf03ac7a1b0aba75daa3b9f9b5768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/205b7476ab0bad9c1e79ef0c74dbd703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/511bc9e4a3b606a11d01e0c1e6d275cc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/15/899dc47b-ceb3-4f31-a41a-824b10e06e9d.png?resizew=209)
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