名校
解题方法
1 . 《后汉书-张衡传》曰:“阳嘉元年,复造候风地动仪.以精铜铸成,员径八尺,合盖隆起,形似酒尊,饰以篆文山龟鸟兽之形.中有都柱,傍行八道,施关发机,外有八龙,首衔铜丸,下有蟾蜍,张口承之.其牙机巧制,皆隐在尊中,覆盖周密无际.如有地动,尊则振龙,机发吐丸,而蟾蜍衔之.振声激扬,伺者因此觉知.虽一龙发机,而七首不动,寻其方面,乃知震之所在.验之以事,合契若神.”如图为张衡地动仪的结构图,现要在相距
的
,
两地各放置一个地动仪,
在
的东偏北
方向,若
地地动仪正东方向的铜丸落下,
地东偏南
方向的铜丸落下,则地震的位置在
地正东( )km.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a855f9229cb4f2f4396ec9d6862dfb7b.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.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/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
2 . 下列选项中,与
的值相等的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
3 .
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51742eeb6e7e94b9061503dc67e00c7c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
4 . 已知向量
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9139dbaedc10534d1f799dbce02818e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc173e86408b076d087d605fe0b8690.png)
A.![]() | B.![]() |
C.向量![]() ![]() ![]() | D.向量![]() ![]() ![]() |
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名校
解题方法
5 . 已知向量
满足
,若
与
的夹角为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b9656216369e6cb6f74b9237ad6347.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/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338189ec20d1ec7fdbbc189d209428dd.png)
A.1 | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 已知
满足
.
(1)求
;
(2)若
为
的角平分线,
,
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e2ec1e75ebf4650e20d8570b971fd7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
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解题方法
7 . 已知锐角
,
满足
,
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f8783429be686df75afcd56e847dfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061beaa71766dfd95ce320c7679b1011.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee5d8f88d10df01b0542d0c675b3b831.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
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解题方法
8 . 在
中,
,
,
是以
为直径的圆上任意一点,则
的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c65edad25ddd666cdce0d7e5afefc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/526908dfb46cf151b8ab1492a9d52047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fb7e47e7affbcc9949d6e82ed3481c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a302ee9825909922d7c0fa859e8735c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 已知向量
,
,设函数
.
(1)求函数
的最小正周期;
(2)解不等式
;
(3)若对
,都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/845305c95afc278738c29ce8bdc4b15a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e404eed46e092c00b47db9b231c3ef1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab63c5b5d4a95127d3e2853e6fde9541.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(3)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12442aac32ca3cdec8ead596f0db327d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c4340db2a136a5f66f20e4eeff70ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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10 . 设
是三个非零向量,则下列命题正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e12e95f703ad30ab9a3d38376830989.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() |
您最近一年使用:0次
2024-06-03更新
|
204次组卷
|
2卷引用:江苏省连云港市东海县2023-2024学年高一下学期期中考试数学试题