设
,
是平面内的一组基底,
,
,
,求证:B,C,D三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a51625aa29680efa0e12c1584388ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8604f9320fb0b70858342cafc0d0f1cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79e823a73e04d75305c59ef5addeb4ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe97badb66f0f6b9bbea2ab41ecf376f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33efad61b6740de0af50cb45a574ebcc.png)
20-21高一·全国·课后作业 查看更多[2]
更新时间:2021-11-11 19:41:52
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【知识点】 平面向量共线定理证明点共线问题解读
相似题推荐
解答题-问答题
|
适中
(0.65)
解题方法
【推荐1】如图,已知△OAB,若正实数x,y满足x+y<1,且有
=x
+y
.证明:点P必在△OAB内部.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd35cc30ce0d3a5ca2bbeec79a9ce1ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dfde0038de382d2be9701cea23ef7eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/329fdf7d989f77a32ca9e0361a9cc956.png)
![](https://img.xkw.com/dksih/QBM/2021/7/30/2775362635292672/2829428728938496/STEM/ddd19650ab664052aac6f5c8893f7785.png?resizew=138)
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解答题-问答题
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适中
(0.65)
解题方法
【推荐2】如图,在平行四边形ABCD中,点E是对角线AC上靠近C的三等分点,点F是CD的中点,设
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/12/97a500e7-2f13-4b04-8fed-2becf39714c6.png?resizew=181)
(1)试用
,
分别表示
与
;
(2)利用向量法证明:B,E,F三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7a93a1399ff7a2bde342652479241b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b54aa2b7f9adf409f0ce8e00615432.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/12/97a500e7-2f13-4b04-8fed-2becf39714c6.png?resizew=181)
(1)试用
![](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/84b8a2a41a8b50e10d68943e3f0f4e05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75fc81977aee721525b4c5625f5a097.png)
(2)利用向量法证明:B,E,F三点共线.
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【推荐3】如图,直角梯形ABCD中,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
,
,
,
,
.且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/18/4fb936e3-2135-4344-97d9-1e2ef6889282.png?resizew=160)
(1)若
是MN的中点,证明:A,G,C三点共线;
(2)若P为CB边上的动点(包括端点),求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b23b5f8eb170bde1008225a7cfbd29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833cfda415649b832cc136caed392753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf80b036459da6dcb841a4bbe3859fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d99d7feb09fc49108d8a41337724c22a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f67670ef299bedf4de8841879481a037.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/18/4fb936e3-2135-4344-97d9-1e2ef6889282.png?resizew=160)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(2)若P为CB边上的动点(包括端点),求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c28682d4d0a22af1375cbbd425cfd5d.png)
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