名校
1 . 已知向量
与
的夹角为30°,且
,
,则
等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e310702748855c3edccd151aae0143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/300904a3fab65fd647b219c3b153db1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e225297418ba60d303578d96116f2e22.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-08-20更新
|
1173次组卷
|
3卷引用:江苏省连云港高级中学2021-2022学年高一下学期期末模拟数学试题
名校
2 . 如图所示,在
中,已知
,
,
.
(1)求
的模;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce552d6e4e8bca4d93e5cb01d8685600.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f7afaac7820e0422a64e5704fc9d1b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b2bd04885ab9095eeaa1b61c45443b6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c436b63e793d6d39990341d29cf47f10.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb00cfce72750f90eb47448105d9faf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4283b6d5514925bff89dd4ec0aa7d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab330d1c5cfcd5b5f69545340dc0d01.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/16/6c67f1ef-ecc3-478e-b197-a455ba34a325.png?resizew=183)
您最近一年使用:0次
2018-02-01更新
|
1371次组卷
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6卷引用:江苏省宿迁市2017-2018学年高一上学期期末考试数学试题1
名校
3 . 在矩形
中,
,
,沿对角线
把矩形折成二面角
的平面角为
时,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b0c298f06cbc909a3b06d04d354b7b.png)
__________ .
![](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/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f0ac3005d5ecd6d4cea0ce99a47ef3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b0c298f06cbc909a3b06d04d354b7b.png)
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2019-04-13更新
|
1061次组卷
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4卷引用:江苏省苏州市八校2022-2023学年高一下学期综合质量监测(期末联考)数学试题
名校
4 . 在
中,
,
,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cdf6426f0eaa95c31648895d35fe165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9e8819b77961ca663c46122893f9f46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97d7014f498cc717520107b0ee4a190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4946dbce8c48110878d10851859fe5.png)
A.![]() | B.![]() | C.![]() | D.1 |
您最近一年使用:0次
2019-07-12更新
|
818次组卷
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6卷引用:专题5.3 平面向量的数量积及应用(练)-江苏版《2020年高考一轮复习讲练测》
(已下线)专题5.3 平面向量的数量积及应用(练)-江苏版《2020年高考一轮复习讲练测》云南省昆明市官渡区官渡区第一中学2018-2019学年高一下学期期中数学试题(已下线)专题5.3 平面向量的数量积及应用(练)【文】-《2020年高考一轮复习讲练测》(已下线)狂刷20 平面向量的数量积-学易试题君之小题狂刷2020年高考数学(理)辽宁省锦州市黑山县黑山中学2019-2020学年高一6月质量检测数学试题江西省湖口中学2022-2023学年高一下学期5月期中考试数学试题
名校
5 . 如图,在
中,
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/1008981c-3828-4d8a-a5aa-f1fee4c0c41d.png?resizew=171)
(1)试用
和
表示
;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7502eee6f33e8c940dec63ab6473c52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce08a747949a55bd5d36f007e315f0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d5003770c8745c903214ef32c838294.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/1008981c-3828-4d8a-a5aa-f1fee4c0c41d.png?resizew=171)
(1)试用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe35c91649a5bea2518387a2b36e0c0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c436b63e793d6d39990341d29cf47f10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041b02bedb8c70bffccaa4b563312590.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a23bad676875fbe3d8c38d5aa6a1a04.png)
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2019-12-27更新
|
727次组卷
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4卷引用:江苏省连云港市2018-2019学年高一上学期期末数学试题
2020高三·江苏·专题练习
6 . 已知三角形
的面积是
,
.
(1)求
的值;
(2)若
,当三角形
的周长取得最大值时,求三角形
的面积
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515f214fbc585bf384358a2cfaf45c2a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b01adc561735ff5be9bb97266918f2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ffc2817fa590affb5a760a25dc65308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
7 . 如图,在
中,
、
是
上的两个三等分点,
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](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/aeaf5dd0466d8240817a00b8949840b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc8cade783e3bc6d6d3fb56eb3b324fa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/3d250988-8674-4665-a494-549070204b37.jpg?resizew=209)
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2020-01-31更新
|
465次组卷
|
3卷引用:2020届江苏省徐州市高三上学期第一次质量抽测数学试题
8 . 已知平面向量
,
满足
,
,则
的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea246b2f31613dc432ca7ffa5c94c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6cb9852b26dffb6889db81b57481998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a560b8ff794c12dc8d194bcd2e3f3554.png)
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2019-04-04更新
|
666次组卷
|
3卷引用:2020届江苏省如皋、如东高三上学期期中数学试题
名校
9 . 已知平面向量
的夹角为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2a00165a62422c537ff7dd411c54e4.png)
____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fa2fcefaf3d8868da0cb52877c5247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02c4a5ad4b595f21dc338a2b8e85d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2a00165a62422c537ff7dd411c54e4.png)
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2019-07-05更新
|
648次组卷
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2卷引用:江苏省南通市2018-2019学年高一下学期期末数学试题
名校
10 . 已知
外接圆
的半径为2,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98ca424b323807d102caa72df269fa1.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d32fe5c701733877bacb59b0e8882e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2e42f413c5290835d2247d35bbb555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98ca424b323807d102caa72df269fa1.png)
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2019-05-15更新
|
560次组卷
|
3卷引用:【全国百强校】江苏省扬州中学2019届高三4月考试数学试题