化简:
(1)
;
(2)
;
(3)
.
(4)
;
(5)
;
(6)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c65108f085f9588b190a0f38c9c83c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd07fdb3b54aa801c1c675abb6254f0d.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89ae6258487f35628236e97f53afde80.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6bd750ab2e996fbab80f1cf9319f665.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf9bed79fee8400a2ed18480f305153.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e3a7011ab96c4a4a76d9beb5321ac88.png)
2023高一·全国·专题练习 查看更多[5]
(已下线)6.2 平面向量的运算(精讲)-2022-2023学年高一数学一隅三反系列(人教A版2019必修第二册)(已下线)专题01 平面向量的概念与运算(1)-期中期末考点大串讲(已下线)专题02 向量的加减法-《重难点题型·高分突破》(苏教版2019必修第二册)(已下线)9.2 向量运算1-【帮课堂】(苏教版2019必修第二册)(已下线)2.2 从位移的合成到向量的加减法6种常见考法归类-【帮课堂】(北师大版2019必修第二册)
更新时间:2023-03-13 11:56:32
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解答题-问答题
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适中
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解题方法
【推荐1】在
中,点
分别在边
和边
上,且
交
于点
,设
.
表示
;
(2)点
在边
上,且满足
三点共线,试确定点
的位置.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6479a7faaf069b1661464e5d416fb66e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64cb1b3fd335f345ab43ac7dd068d507.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b41d4070854edfaa24071137b314cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7670db79a4056f1517fe8c3f49c014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a1a53ed9b8cefcf3be52f4ecfd69777.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65a6c1c4db24778071a7c48c6e4587f9.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a48e7710d3d3e8cc1152fdc9c7b74a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
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解答题-证明题
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适中
(0.65)
【推荐2】如图所示,在
中,点D是边BC的中点,点E是线段AD靠近A的三等分点.过点E的直线与边AB,AC分别交于点P,Q.设
,
,其中
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/17/ccc713c7-b979-4e0c-bd2a-6e8ba8efbcd1.png?resizew=187)
(1)试用
与
表示
,
;
(2)求证:
为定值,并求此定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a96f93c74e45318dab2ef44893ad687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e20b752572a7e0ab2e32e4a93a8c8f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c98c0ec4c99989333faa478a946985.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/17/ccc713c7-b979-4e0c-bd2a-6e8ba8efbcd1.png?resizew=187)
(1)试用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f1b06a56fc382feed28e01f1ad102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304a7f07db2ec637baadf8f0ab91c85c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
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【推荐2】在
中,
,
是
的外心,
.
(1)求边
的长;
(2)若
为
的中点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56aadf1458daecb860ea53e8fbe031b3.png)
(1)求边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc0f23e79770ac886bf6c4f5937d0dc.png)
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【推荐3】在直角梯形
中,
,
,
,
,点
在线段
上.若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f89deb952f57f4b3fa4887b098b7b91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d3c9ce32b721995f355eea411340e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c956ac0eb05cf120e14f17413dfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/046a727db439dee32fd0fef0470b069a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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