1 . 如图、某港口O要将一件重要物品用小艇送到一艘正在航行的轮船上,在小艇出发时,轮船位于港口O北偏西
方向且与该港口相距
的A处,并以
的航行速度沿正东方向匀速行驶,假设该小艇沿直线方向以
的航行速度匀速行驶,经过
与轮船相遇.(假设水面平静)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/19/6b7939b6-56a3-4ae7-90d0-7b6d0d796451.png?resizew=204)
(1)要使相遇时小艇的航行距离最短,小艇的航行速度应为多少?
(2)假设小艇的速度最快只能达到
,要使小艇最快与轮船相遇,应向哪个方向航行?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d1525355976915a23b0a3050e6a687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdde1bd791be76f4dfc0116f5c8dacce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6737e5a65b0067db9bdac02a52de7131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ee630252dc9ec9c8453d1561a81743.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/19/6b7939b6-56a3-4ae7-90d0-7b6d0d796451.png?resizew=204)
(1)要使相遇时小艇的航行距离最短,小艇的航行速度应为多少?
(2)假设小艇的速度最快只能达到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d568215783a27afd4041395551623c4a.png)
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解题方法
2 . 已知函数
为奇函数,且
图象的相邻两条对称轴间的距离为
.
(1)求
的解析式与单调递减区间;
(2)将函数
的图象向右平移
个单位长度,再把横坐标缩小为原来的
(纵坐标不变),得到函数
的图象,当
时,求方程
的所有根的和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57ea9ef3575e747784d98a7c96077dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4138f6987cd2ee9e56b2ac80e84f9e24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ae95840cc20d662c4f4a01696cc8651.png)
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解题方法
3 . 已知
为钝角,
,
为第一象限角,
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9bc052a11cf1a01445992672dde2836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7383500859bbf83a8d0241104fb9538b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b22274650b12606b65ec5a5f79e54e4a.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850dba25bf0f5f13541bf9b6ec12b84d.png)
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4 . 已知函数
.
(1)求函数
的最小正周期及
的单调区间;
(2)将
的图象先向左平移
个单位长度,再向上平移2个单位长度得到函数
的图象,当
时,求
的值域;
(3)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56e7b58bc3f7e8387ec0924d1f98e30b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f93f92a0569b6d5564816069a9ae023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7af716aa8b4f139c778f946f56cf787a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf0c319e041f4eebf9759bc3d6f4e3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f90c4754e6b6fc862d72943fb35569.png)
您最近一年使用:0次
名校
解题方法
5 . 在
中,角A,B,C所对的边分别为a,b,c,
.
(1)求角C的大小;
(2)若
,
的面积为
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2117bffd2960ce503af157058f7ff98a.png)
(1)求角C的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b97bb18e5ca34d22b5e827316a122a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
7日内更新
|
667次组卷
|
3卷引用:陕西省西安市南开高级中学2023-2024学年高一下学期五月月考数学试卷
陕西省西安市南开高级中学2023-2024学年高一下学期五月月考数学试卷四川省泸州高级中学校2023-2024学年高一下学期5月期中考试数学试题(已下线)高一下期末考前押题卷01-期末考点大串讲(人教B版2019)
名校
解题方法
6 . 已知
,
,
分别为
三个内角
,
,
的对边,且
.
(1)求角
;
(2)若
,求
的值;
(3)若
的面积为
,
,求
的周长.
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/229ebff0c9f6d0838d9ceaa5f59754e4.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5321ef782f50670b895f93bf08b61b98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89d66e84de508cfdeefea262bff0adcf.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bbb86e88765213f7b00d9962d56941e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
解题方法
7 . 已知
的内角
,
,
的对边分别为
,
,
,且
,
.
(1)若
,求
,
的值;
(2)若
的面积为
,求
的大小及
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/c5db41a1f31d6baee7c69990811edb9f.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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4f287c96efeeafcbd6eec03d85dfcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f4e19fcf82af19ae7f70cb49685588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e5d4f93699f8dcffb0e7840ca5597e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d52bc912794df9a0cf7e4eecbc2e0f7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
8 . 已知
.
(1)若
,求
的值;
(2)将函数
的图象向右平移
个长度单位,再将横坐标伸长为原来的2倍,纵坐标不变,得到函数
的图象,求函数
的单调增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a927549c7bcd497b4e4e709404f6f9f5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b958a367fa2f08b6202a5a6ebf5e9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64cd502af8424288431c6d6f27b89f73.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
您最近一年使用:0次
名校
解题方法
9 . 已知在
中,角
的对边分别为
,且
.
(1)求
;
(2)若
为锐角三角形,且
,求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e76d1daae086f2dfb91868c898fc2c6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-06-08更新
|
1071次组卷
|
2卷引用:陕西省西安市高新第一中学2023-2024学年高一下学期第二次月考数学试题
名校
解题方法
10 . 已知
,
,
(下面①,②中选择一个作为已知条件,解答问题:
(1)求
的值;
(2)将
的图象向右平移
个单位得到
的图象,求函数
的单调增区间.
①
的最大值为
;②
.
注:如果选择①和②分别解答,则按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0be576e1d7cc74520944609fa6534a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd7f03b66f78d94edc5db0c0513f320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b655f8a1de139164fcab57390b798e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac05736945533bdf5e39720ed25f617.png)
注:如果选择①和②分别解答,则按第一个解答计分.
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