10-11高三·江苏常州·期末
1 . 设
是夹角为
的两个单位向量,已知
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b31edfe2a5868ffdc2ec2955022cf3.png)
,
(
为实数) .若△
是以
为直角顶点的直角三角形,则
取值的集合为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42503437fb44722722cd20835f11d233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6f5aed57385daa88558bc197c6fcf26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b31edfe2a5868ffdc2ec2955022cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf39ca3294f5520518dd4f1c0609876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dbe8fe34578846c8175411c2c981397.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ce50ba5e349425274f05d46d120a74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059d6df06a5b85848dc4fa33327f8e07.png)
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2018高三·江苏·专题练习
2 . 如图,在
中,
,
,
是边
上的高,当
时,
的最大值与最小值之和为_________ .
![](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/01dcbd171693a47c5b932a5e84de10c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8bbb3089f861841757a5452505b8e9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291b91eba7f6d304df257227d6626748.png)
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925357664591872/1929123877158912/STEM/d69350419ce84bae9f7c5c81872716a3.png?resizew=254)
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13-14高三上·江苏连云港·期中
3 . 平面向量
与
的夹角为
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5154ce098d83928b357e01070762413a.png)
_______
![](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/a9bf2423499d45354dbc8377f1f04e16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854a5ec0706361532e6813567a849898.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f87249431e2f4f03175404e39018a56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5154ce098d83928b357e01070762413a.png)
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4 . 边长为
的正方形
中,
分别是线段
上的点,则
的最大值是___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3c032441543354c154ee67d744abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d16d0d7e1ea5ec5a288a11daee09b3a6.png)
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名校
5 . 如图,在
中,
为
中点,
为
上的两个三等分点,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90f10322365ba4222b279b0c9c2e912.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21eaf611ee921229e27e8516ec2d2e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/014b40d8d162395a988bb71e48ac2946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90f10322365ba4222b279b0c9c2e912.png)
![](https://img.xkw.com/dksih/QBM/2017/8/17/1754071349370880/1754186198679552/STEM/8b3f25885a7846bb9c36398dd3e89dd4.png?resizew=135)
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2017-06-29更新
|
324次组卷
|
2卷引用:江苏省如皋市2017届高三下学期语数英学科联考(二)数学试题
解题方法
6 . 在边长为1的正
中,向量![](https://img.xkw.com/dksih/QBM/2016/5/31/1572664178180096/1572664183652352/STEM/2d29c0ce1c97498bad0a2691ea5988ff.png?resizew=76)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572664178180096/1572664183652352/STEM/31556a7fd5574c5d85532245aa529971.png?resizew=76)
,且
则
的最大值为________ .
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572664178180096/1572664183652352/STEM/b901bcaaa46441a782a9b02f9ddc10ac.png?resizew=45)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572664178180096/1572664183652352/STEM/2d29c0ce1c97498bad0a2691ea5988ff.png?resizew=76)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572664178180096/1572664183652352/STEM/31556a7fd5574c5d85532245aa529971.png?resizew=76)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572664178180096/1572664183652352/STEM/fabd7cb1b334408a961a70b8cb7f0630.png?resizew=77)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572664178180096/1572664183652352/STEM/faa07e5b1d5b4149b5b7fb088b16eea7.png?resizew=64)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572664178180096/1572664183652352/STEM/9957c5ae6bc448a9b71a80d8f7ac67a4.png?resizew=57)
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7 . 在
中,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42f704f3929dc1503a01c92b2e1742fc.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d073838208809f083fbbfe21eea63377.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42f704f3929dc1503a01c92b2e1742fc.png)
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8 . 在平行四边形
中,已知
,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/584cec53b24b76b7586347f63b1cd1a5.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf7679c8b4b1e442ce4286d4b0e9c32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b43ba1cbcdb24c2f69e223c05410f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3774dca185abe3279b694ab2dfb6eb73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/584cec53b24b76b7586347f63b1cd1a5.png)
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名校
解题方法
9 . 已知
中,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a4cb2e032c390581b7ba95e6d03867e.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae8221601c7bd5c51fd520615581fa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4494a85de0be0b97a69348115aef8513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b903021571c1b57943a1a3274217654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a4cb2e032c390581b7ba95e6d03867e.png)
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