已知
,当满足下列条件时,分别求
与
的数量积
(1)
;
(2)
;
(3)
与
的夹角为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b130a306d9c9d2030af39c4d6e6fe790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70facc9bc02af0867d248407bd317c05.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5aa846a5b7c96fe2ce665eb1ea5f0e.png)
(3)
![](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/be6a6301878fed2a01413020b27310a5.png)
20-21高一下·全国·课前预习 查看更多[1]
更新时间:2021-11-24 09:49:46
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相似题推荐
解答题-问答题
|
适中
(0.65)
名校
【推荐1】已知向量
(其中
),
;
( I ) 当
时,求
的值;
( II ) 当
时,(其中
),求
的取值范围;
(Ⅲ) 在( II )中,当
取最小值时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f5c5275d4c6783f62be6898345bf997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49be008a6f00e462e1bb5e6d4dbf9a36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bcb5e362d30b4ba71fcfc372c8387a5.png)
( I ) 当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d76ee2e81f447f84a3e0b39c0388ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
( II ) 当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ffb6c1df3eca70ae35c3a1442f0206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0210d8b62a2908e04896ede180909b8e.png)
(Ⅲ) 在( II )中,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0210d8b62a2908e04896ede180909b8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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适中
(0.65)
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解题方法
【推荐2】已知
,
,或是平面上两个不共线的向量,且
,
,
.
(1)若
,
方向相反,求k的值;
(2)若A,C,D三点共线,求k的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99614c6b58a9633b6767adbf0aede15a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b76fa90f00ec4b0817488c6e97a4635.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5e3cebb32482a5b78fa112bf60a53eb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc1070a28cb9cb8553c29747d1993b16.png)
(2)若A,C,D三点共线,求k的值.
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解答题-问答题
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适中
(0.65)
名校
【推荐3】如图,在
中,D是BC的中点,H是AD的中点,过H作一条直线MN分别与边AB,AC交于M,N,若
,
.
![](https://img.xkw.com/dksih/QBM/2021/4/8/2695194462748672/2787494562611200/STEM/4115a90c-0926-40dc-aa16-c2001fb1a2c6.png?resizew=185)
(1)若
,
,
,求
的值;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28c4eaa1e5dd08305162415799a063d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a4244530f58923c43349abe03e6917c.png)
![](https://img.xkw.com/dksih/QBM/2021/4/8/2695194462748672/2787494562611200/STEM/4115a90c-0926-40dc-aa16-c2001fb1a2c6.png?resizew=185)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dc91e8dadcddf3e80d57bfacdd3f3c.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/407e4330cfdd5cd0bcfd4f3bd1a898e6.png)
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适中
(0.65)
【推荐1】已知向量
满足
,
,
,且
.
(1)求向量
与
的夹角;
(2)求
及
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c38fe2c71e008615306cd00dd26ac34d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e708be069ecbfa5b18d36b40d0b8ccec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098b7c4196046343ade61bb22446d962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af3241c91204333569f389cc0765ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e03f3059cfbf9a066a9fa8499be5d081.png)
(1)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715f41e8be5cee0620f4d75e7a02c0a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b26d2f9475dd0cc7dcfa1a179dd8a279.png)
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适中
(0.65)
【推荐2】已知向量
,
,向量
,
,函数
.
(Ⅰ)求
的最小正周期
;
(Ⅱ)已知
,
,
分别为
内角
,
,
的对边,
为锐角,
,
,且
恰是
在
,
上的最大值,求
,
和
的面积
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/052e99e2d9f0e27a9ae10b8cc77c0276.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f079cef4435beed1e08999a2785bc9dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf57d9e1b76a4053d0d3d576315889a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea709f64feee0685af6cc6a675cfa113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e614247c7b2696f0067bb1307bac99a6.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(Ⅱ)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7fa79a550591eb9e1bd07bced3a08fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b97bb18e5ca34d22b5e827316a122a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3292a7444b7e76515cee05ffe1eea50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17fff6cad52af74309c2d811fa5e508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934bae4523554cea2fdde0556acb228c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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