已知向量
与向量
共线,且
,
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78f8f5954e131eb1f3c151653f70312.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/793be84d1bf071f4c80cf98adb398e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989e734596b056b23ecbfd945019c496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
更新时间:2019-11-06 23:52:27
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解答题-问答题
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【推荐1】已知空间直角坐标系中,
,
,
.
(1)若
,求
的坐标;
(2)求三角形
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6dcd362a44588747e88b206e7c5ca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db10b533a50bb5252918ca2a0b4d70b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d73896c3c5688456095a8322019684c7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe51a2c12e6f14dea578d8adf9f81fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)求三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
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名校
【推荐1】如图,在三棱柱
中,
,
分别是
,
上的点,且
,设
,
,
.
(1)试用
表示向量
;
(2)若
,
,
,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f420beac4929e7f73020ee997f38cb9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc03a3ba496faee748a8d63e5d4fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8780f5b68f8907a57c1c2f96233a78c5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/5/0c5bec1d-714e-4e10-a0fb-75c7a6d16d0e.png?resizew=164)
(1)试用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e12e95f703ad30ab9a3d38376830989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a014dff8997c661055229de29c61cfc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8e9ec412ea0355e4e5cd06c60e5fee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f9780b8092b4701bd329fbe4a95a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90e17995e2f71e297d94ae51c7e5b1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
解答题-证明题
|
较易
(0.85)
【推荐2】如图,四面体OABC各棱的棱长都是1,D,E分别是OC,AB的中点,记
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/798d556e-3600-4ccb-ab4c-98717a72cb8a.png?resizew=174)
(1)用向量
表示向量
;
(2)求证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe136ff8396ff6f80de6e616f290717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cae49aecae12a1aaaa29cb194a11bd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebca14060caa173dd7c922c560689064.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/798d556e-3600-4ccb-ab4c-98717a72cb8a.png?resizew=174)
(1)用向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3aab05482046ebd5b2487850d05273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87833bb7b9bff8407e7ae4cfef9a9d15.png)
(2)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c38dfd14dde969702dff97ef2270f9.png)
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【推荐1】已知向量
,
,求:
(1)若
,则
的值;
(2)若
,则
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5d1063b2c84940d6ab77becec865947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3ea06fbcb579aba007a04edee6b54d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10437043af6101995332510b8a3ced5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03a0f19946afca3ebdfa0ee6bd7b425b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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【推荐2】
是平面
外的点,四边形
是平行四边形,
,
,
.
(1)求证:
平面
;
(2)对于向量
,
,
,定义一种运算:
,试计算
的绝对值;说明其与几何体
的体积关系,并由此猜想向量这种运算
的绝对值的几何意义.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f7cbd5d3481f74e4568a27e16bfe15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1ac45fc7ed81c868bfb0ca4a42d4f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da8f9f90bf14e1b778811bac7b52f3fe.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)对于向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8596dc44f2b83569cc15aaf80feaeaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0292cbd753aee7bdbeab2bdcd176bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33e9ee5afbd295ef26d03f7766d899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42a8c947741c4f90eb860780654ba0f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ba5fa2175d37d043d2a86bd370908f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ba5fa2175d37d043d2a86bd370908f.png)
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