设向量
,其中O为坐标原点,
,若A,B,C三点共线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
________ ,
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec0016e559f31ab7a35778756297bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57f879f6e8df7d5fb261328806260b3.png)
更新时间:2022-03-26 23:21:26
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相似题推荐
填空题-单空题
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适中
(0.65)
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解题方法
【推荐1】若向量
,
,
,若
三点共线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ddee6d08e39eaeef08d5494760c2f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae5fb702e90b710b99804fe18cabe45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d1bd1957d896457f5bb9154ac6b80fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
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【推荐2】络出下列四个命题中:
①若
为平面内两个不相等向量,则平面内任意向量
都可以表示为
;
②若
为同一个三角形的两个内角,当
时,则
;
③
,若
与
夹角为锐角,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a45c146bc520e9af43d55edc676890be.png)
④点
是
所在平面一点,且满足
,则点
是
的内心.
其中正确的序号是___________ .
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de92206d9c5afc2056f16086346a877e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1abdc197cab50e9b59fd74467aaf8ad8.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3155cda6a054b2022df932f4e3364362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33c61cfbfd3bf888856b7dc9b2a84c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6f031eecd0793ccf4677ee2d47cf1bc.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de4a9b9e77f22ea3c0a451351f8b06c2.png)
![](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/a45c146bc520e9af43d55edc676890be.png)
④点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40018175912da0930709934b329766de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
其中正确的序号是
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【推荐3】已知向量
,
且
∥
,若
均为正数,则
的最小值是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17291e7cc411efb6c0597155af11ea54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36c862e3089b5b318108fdbf0841460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5591dfc8b6918d7feae0b3783b6145f.png)
您最近一年使用:0次
填空题-单空题
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解题方法
【推荐1】若
,
,
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21c7501096f4be07c98e97e29db21a21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf99adccc80f28343fedd8d0aad7429.png)
您最近一年使用:0次
填空题-单空题
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【推荐2】若
,且
,则
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a9344f4fca7b9779ca7720e5277ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe5e5804f948887d1007f8cd2ee7d738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
您最近一年使用:0次
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(0.65)
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解题方法
【推荐1】已知
,
,且
,若
恒成立,则实数m的取值范围_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e13093b4916c0f1aa9ac25324258011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf6ef57fdc48f0d8a15ec6f1d3b8ab5.png)
您最近一年使用:0次
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【推荐2】已知正实数
、
满足
,
,且
,则
的最小值为______ .
![](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/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731bdc8d2686a05f12a2ba8a7e3b01be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe3e97679beaf12dc09656f10349dd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac5e19edb40d1014e1a37d9231b339b.png)
您最近一年使用:0次