名校
1 . 如图所示,在四棱锥M﹣ABCD中,底面ABCD是边长为1的正方形,且AM和AB,AD的夹角都是60°
是
的中点,设
,
,
,试以
,
,
为基向量表示出向量
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21841338587f28e2b8adbc39897a145b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3bfd659390349bb6dd15bb4ae57260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252b637d25263b74a01ec59e691c3a45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350f162ee9aa08f4c9779481a5ef1025.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/3/b4cee695-ea61-4241-83ef-a10e03f74551.png?resizew=145)
您最近一年使用:0次
2 . 如图,点
、
分别是
中
(靠近
)、
(靠近
)边上的三等分点,已知
,
,求:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/27/50903da1-3228-4381-8867-37d9b80ac01b.png?resizew=196)
(1)用
与
表示
;
(2)用
与
表示
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7a93a1399ff7a2bde342652479241b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae60c09521904ab969829bf0d74edd37.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/27/50903da1-3228-4381-8867-37d9b80ac01b.png?resizew=196)
(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/86fe5773c35dd7ba9526310a7a154026.png)
(2)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/e773bfc45764fd279a64990c98ccd61e.png)
您最近一年使用:0次
名校
解题方法
3 . 如图,在平行四边形
中,
为
的中点,
与
交于点
.
![](https://img.xkw.com/dksih/QBM/2022/4/25/2965923684057088/2969116894298112/STEM/afef23b56935496b9cf1b8a65bf0ee5b.png?resizew=258)
(1)用
表示
;
(2)若
,四边形
的面积为
,
,试问
是否有最小值?若有,求出最小值;若没有,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://img.xkw.com/dksih/QBM/2022/4/25/2965923684057088/2969116894298112/STEM/afef23b56935496b9cf1b8a65bf0ee5b.png?resizew=258)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bd19d458d51304d5b5709003af66e09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/472dfa1c1e44c00e58a4712c3dea4247.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb8fb552b9e21dbaba74d11aa747790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27567d43c5b91382ee3d7ca708ee422.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad72c81de9c2b3e114bd9de26b2ebbbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2836c5f53d54af99490f0cd48499b7.png)
您最近一年使用:0次
2022-04-30更新
|
279次组卷
|
3卷引用:新疆乌鲁木齐市第八中学2021-2022学年高一下学期期中考试数学试题