名校
1 . 设平面向量
,
,
满足
,
,
,
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5196f84fd2a77d7ee14328cc26ab1ea.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524594bf0942ed86f56fc1eee120a81a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c559d3aa4e5178683a408e5b7e7cbdde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5397753affa9833ade8daaba7748e3aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31bb9e1b4f7ba936949195aa99d6159a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75cbb7c27eb8a2af305aa60c5fa2acb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45f0e123349c41a4804013241a518860.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5196f84fd2a77d7ee14328cc26ab1ea.png)
您最近一年使用:0次
2022-10-19更新
|
550次组卷
|
3卷引用:2022年7月浙江省高中数学联赛全真模拟六校联考试题
2 . 如图,点M、N分别在△ABC的边AB、AC上,且
,
,D为线段BC的中点,G为线段MN与AD的交点.若
,则
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/637ead8ff2c33546dc4b7ae439d3cffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e73df9bd672a72bd945449a606cbd27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3235f0f3c3faa679c2e9420d298a1f58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2be5e24170427caed4175e2863995aa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/66865588-9b96-4f15-8040-cab6d1f93f20.png?resizew=176)
您最近一年使用:0次
3 . 已知平面向量
,
,
满足
,且
,则
最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524594bf0942ed86f56fc1eee120a81a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e275e2f458db459e28f43062ab8d2b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9885da9bc997ce0763edcb000b85a686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0055cbdfb047c8bd2791fefd81eb0d0d.png)
您最近一年使用:0次
4 . 已知平面单位向量
,且
,记
,则y的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1454fcef553ffe0e341ac1d7af32a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0150d9c357f2f8f8deecacd3ef0545cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b54e29e2c4139d17f0e44282d84872.png)
您最近一年使用:0次
5 . 设P是
所在平面内一点,满足
,若
的面积为1,则
的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1df088833dbde38ba54e5a01ba42d1de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
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6 .
中,A、B、C的对边分别为a、b、c,O是
的外心,点P满足
,若
,且
,则
的面积为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf331d9e282b74a251b5ba90fa53d0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b1dd07c0571772e96d318f974724810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e3d7ff3714e10fb99c3e034a28d257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
7 . 如图,在
中,
是边
上一点,且
.若点
满足
与
共线,
,则
的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74effc94702a303938c6ffaea73c9e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c290cdc4cf3d6b82581e68ecaf5c7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07630df371b864a38c31c7a892afc17c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd98a891fa65f2fc6688001b03185d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25ea966ef10e746835367a4a505d1e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f20d76b3bba25d63ead24238a0dec3f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/3fd973d4-61b2-452a-a462-8005d6b6e263.png?resizew=155)
您最近一年使用:0次
8 . 已知单位向量
,
的夹角为60°,向量
,且
,
,设向量
与
的夹角为
,则
的最大值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b28baf17059c56ee9ad1ae4814acd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b04618e5b2db68f2de6ba68972c505c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97169074b37d4b914ecd271e311c0211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95842ad442c7f6d5ec4b32939b929e63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54eff1aaacb1ba98b5e379789f6d47a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b28baf17059c56ee9ad1ae4814acd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
9 . 已知为△ABC的内心,且
.记R、r分别为△ABC的外接圆、内切圆半径,若
,则R=____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249b81fa939738d06d775a4c97294394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc5ff0f29dbb1816ec2a1e9aa55ee28.png)
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10 . 在△ABC中,
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e14176f9e46bb305075f9138eb202326.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0f9f3d4baed5c84de69e7c05ac859e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e14176f9e46bb305075f9138eb202326.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
您最近一年使用:0次
2020-05-11更新
|
1139次组卷
|
3卷引用:2019年全国高中数学联赛贵州省预赛