名校
解题方法
1 . 已知平面向量
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64559baf3d0e1794499f4808bc091727.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2024-05-08更新
|
351次组卷
|
2卷引用:山东省沂水县第四中学2023-2024学年高一下学期4月阶段性质量检测数学试卷
名校
解题方法
2 . 我国人脸识别技术处于世界领先地位.所谓人脸识别,就是利用计算机检测样本之间的相似度,余弦距离是检测相似度的常用方法.假设二维空间中有两个点
,
,O为坐标原点,余弦相似度为向量
,
夹角的余弦值,记作
,余弦距离为
.已知
,
,
,若P,Q的余弦距离为
,Q,R的余弦距离为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a2b8dae45cd30a752aedb1ca66c30a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc9656d8286c4d6fa309d6ae347c89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1df320d266e857a428ff0bac1eb680bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef2376fa0549e6fae46bae54d6ace942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926778fe15991308849cdba1822595a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1b00c13a8bb6db096dd866a2c37dee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b20bb38fbd8ff8e5f8e985a0babf498d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e28a96ee1e62b7fbc1fb0257ad0deeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a2b8dae45cd30a752aedb1ca66c30a.png)
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2024-04-04更新
|
533次组卷
|
3卷引用:山东省临沂市第二中学2023-2024学年高一下学期第一次阶段性测试数学试题
2024高三·江苏·专题练习
解题方法
3 . 已知
为锐角,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2626486fdd974b7add0ed7360a8551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
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名校
4 . 已知函数
(
,
,
)的部分图象如图所示.
的解析式为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fcd3cea5f5e2fe943490dcb65d74c73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e48d15e4ccb48bda970dfd6f026ff53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/5341e6d8-a7a3-4d10-b823-b040963ebd2f.png?resizew=151)
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名校
5 . 如图,已知正方形
的边长为
,且
,连接
交
于
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0016df9b96f68fd427d8c4347b34f6.png)
________________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab6e27f4123ab84f5880a2b32bc4c4a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0016df9b96f68fd427d8c4347b34f6.png)
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2024-03-30更新
|
344次组卷
|
4卷引用:山东省临沂市莒南第一中学2023-2024学年高一下学期3月月考数学试题
6 . 已知函数
与
的零点分别为m和n,若存在m,n使得
,则实数a的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc9e9802ec71e863cde96cf2bcb5750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8dc1e48066c7d2722d3e0e94504155.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4184c3549eb113697c3ca15e1cabf85.png)
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7 . 已知函数
,当
时,不等式
的解集是______ ,若
恰有2个零点,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a68dfcd9c934fc39cff91f2ee0652599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
8 . 已知函数
,若
,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f429820d35d6cbb9b0a39d117fb2b406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d0c41e8060603cbf9bb145bb348371.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-02-21更新
|
342次组卷
|
2卷引用:山东省临沂市第十八中学2023-2024学年高一上学期期末仿真数学试题
名校
9 . 临沂一中校本部19、20班某数学兴趣小组在探究扇形时,发现如下现象:如图所示,⊙B向⊙A靠近的过程,就像月亮被磨弯一样.已知在某一时刻,圆A和圆B处于图1的状态,简化后如图2,
,
,
.则S阴影=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7c88df39a169407053491a8f6690d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12aed85ba8001c6ef155efb6f0f26b5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb3d1070981fed5ca65a34bb2282e6f.png)
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2024-02-20更新
|
454次组卷
|
5卷引用:山东省临沂第一中学2023-2024学年高一上学期期末模拟数学试题
山东省临沂第一中学2023-2024学年高一上学期期末模拟数学试题(已下线)5.1.2弧度制(已下线)1.2&1.3 任意角与弧度制-同步精品课堂(北师大版2019必修第二册)河南省驻马店市新蔡县第一高级中学2023-2024学年高一下学期3月月考数学试题(已下线)第一章三角函数章末十九种常考题型归类(1)-【帮课堂】(北师大版2019必修第二册)
10 . 冰箱,空调等家用电器使用了氟化物,氛化物的释放破坏了大气上层的臭氧层,使臭氧含量
呈指数函数型变化,在氟化物排放量维持某种水平时,具有关系式
,其中
是臭氧的初始量,
是自然对数的底数,
,试估计______ 年以后将会有一半的臭氧消失.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2912b65a975a1d91d59073f2ac24d06a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b1698b9a76d725f9a254b9798d926fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11204e2fb6e560bf7a4ca26eaebfc526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7753227327ac93a1df75c262e575c16.png)
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