解题方法
1 . 如图,在
中,点D、E、F分别是边BC、CA、AB上的一个三等分点,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f63be4bdb558d1795d0f50e1cd83697.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/c5652737-29d2-413a-a21a-beaaccb74cd8.png?resizew=185)
您最近一年使用:0次
解题方法
2 . 如图所示,已知D,E分别是边
的中点.求证:
,且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a078495ba47076ccaa28b46f765d80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdbe7ef843d212945751b5dde39889f2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/cc219873-601d-48ff-b8e1-852197007ba3.png?resizew=147)
您最近一年使用:0次
名校
3 . 已知
中.
(1)设
,求证:
是等腰三角形;
(2)设向量
,
,且
,若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e16aef8305c8c9097f215346602a49c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)设向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7539fe5bd18cdaf5fc48e97887519d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18db98d66df644722ccebc1d223eb74c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ccf7454c9e7dac9478eca82f709429c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de08e9e977f8997b0a7d351bf338c1fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46b9c5badc59f462e5f98d270a13f8f.png)
您最近一年使用:0次
名校
4 . 如图所示,在
中
,
分别是
,
的中点,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/3868cc5f-a030-428b-bd47-832ac3e83b1f.png?resizew=231)
(1)用
,
表示向量
,
,
;
(2)求证:
,
,
三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4783856c34bc09c95d7420fd4d7ce2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7a93a1399ff7a2bde342652479241b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae92f0c583cc9daf980a8621ad96aef5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/3868cc5f-a030-428b-bd47-832ac3e83b1f.png?resizew=231)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd98a891fa65f2fc6688001b03185d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd0cecf5c102254b9755e42a80c3948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/205b7476ab0bad9c1e79ef0c74dbd703.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
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2021-09-15更新
|
1717次组卷
|
4卷引用:江西省宜春市第九中学2020-2021学年高一下学期第一次月考数学试题
5 . 如图,在
中,
是
上一点,
是
上一点,过
的直线分别交边
于
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/32595bbc-6a8a-4a47-9c35-7fa1f7f89069.png?resizew=180)
(1)若
,求证:
;
(2)若
,
分别是
,
中点,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/32595bbc-6a8a-4a47-9c35-7fa1f7f89069.png?resizew=180)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf6ba39df8289a9045cf1d6652dd8fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a85ea4968343b0d94ed2fe01b535.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0b8c8e570cd3045e23ac9b72497c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f0b84ee4ed90face0993d4f4dda379.png)
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6 . 试用向量方法证明:平行四边形对角线的平方和等于四边的平方和.
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解题方法
7 . 在
中,
,
分别为边
上的点,且
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a598ebdc507626a3eda7f6224c3c48da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374fe9986ebbc986fc422e514ab93a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc3fb13310a69c3aeba7d3e70228ff73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c072ab704dd61e1690f3cdb1c8877611.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/14/d9b90ff3-e1ab-4089-b25e-949b09798587.png?resizew=177)
您最近一年使用:0次
2020-06-26更新
|
650次组卷
|
5卷引用:沪教版(上海) 高二第一学期 新高考辅导与训练 第8章 平面向量的坐标表示 8.4向量的应用
沪教版(上海) 高二第一学期 新高考辅导与训练 第8章 平面向量的坐标表示 8.4向量的应用(已下线)5.3 平面向量的应用(精讲)-【一隅三反】2023年高考数学一轮复习(基础版)(新高考地区专用)(已下线)10.3 平面向量的应用(精讲)沪教版(2020) 必修第二册 单元训练 第8章 向量的应用 (A卷)(已下线)专题03 平面向量的综合应用(1)-期中期末考点大串讲
8 . 如图,在矩形
中,
,
,
为对角线
上一点,且满足:
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/7c6163b6-644b-40fc-a19d-4ea9f33eb550.png?resizew=186)
(1)求
,并直接写出
的最小值(不需要证明);
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca6552edd758f90d07a9661a44cc2ddb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/7c6163b6-644b-40fc-a19d-4ea9f33eb550.png?resizew=186)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba31127c479fa6e860c17db72edf5771.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2dff7946cc2f66e5fe5cd4f4e68fb87.png)
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解题方法
9 . 如图所示,已知
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/845c4ca0ecd0368db3f263300b5d88e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4056a12f0bef5320d7f67020cdeb2b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1dd154d6ced1fc246d9135607766a2.png)
您最近一年使用:0次
2020-02-06更新
|
297次组卷
|
2卷引用:人教B版(2019) 必修第二册 逆袭之路 第六章 6.1 平面向量及其线性运算 6.1.5 向量的线性运算
10 . 如图所示,
是
的中位线,求证:
且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e987ef5b2677d3b860a9882770ac718.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d94a9846e3962d0ce6825f19c6d76c12.png)
您最近一年使用:0次
2020-02-06更新
|
183次组卷
|
2卷引用:人教B版(2019) 必修第二册 逆袭之路 第六章 6.3 平面向量线性运算的应用