化简下列各式:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec30994403b717f08912732b22be5708.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e3a7011ab96c4a4a76d9beb5321ac88.png)
2024高一·江苏·专题练习 查看更多[1]
(已下线)第九章 平面向量(知识归纳+题型突破)2-单元速记·巧练(苏教版2019必修第二册)
更新时间:2024-04-04 08:41:46
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解答题-证明题
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名校
【推荐1】如图,在
中,
分别是边
上的动点.
(1)证明:
;
(2)当
分别是边
的中点时,用
表示
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927456b0989846a2f1573844bbaa2105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0e08a39c6619123557148d195abfbe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/28/08c9a5c1-abf5-44de-bfcf-c9d5ad75f78a.png?resizew=195)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a289e14db6a5ec8bbbbb54c65411575c.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d688fd11e6bfe3a880c4952a272442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cca04b2a2b61d62a809776670a60c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be656083580a03c6481fb75881b84f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef2723673c90347f6dd58346278c7fa.png)
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解答题-计算题
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较易
(0.85)
【推荐2】(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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解答题-问答题
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较易
(0.85)
名校
解题方法
【推荐1】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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解题方法
【推荐2】如图所示,四边形ACDE是平行四边形,B是该平行四边形外一点,且
,试用向量
表示向量
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b138f5e191fd171b2845f1323eb996d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e12e95f703ad30ab9a3d38376830989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab43309fb87c531063af84c256ddd979.png)
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