名校
1 . 如图,有两条相交成
的公路
,
,其交点为
,甲、乙两辆汽车分别在
,
上行驶,起初甲在离
点
的A处,乙在离
点
的
处,后来两车均用
的速度,甲沿
方向,乙沿
方向行驶.
(2)
小时后两车的距离是多少?
(3)何时两车的距离最短?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f51ea72e56e0bc3c68621dac8e2d9077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26a0328ca156e67a0c8583929c28771b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f51ea72e56e0bc3c68621dac8e2d9077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26a0328ca156e67a0c8583929c28771b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3fb33e7fb8709bd8d5db686644d50b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f971d44effe601c7244f7bcde43b863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42f145950862ad3f5f3b1d809af1bb9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4defb9363b4f33b52375d075450c6c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb06ac70dca8c91dab93f55cc9e01b48.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)何时两车的距离最短?
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解题方法
2 . 如图,在四边形
中,已知
,
,
,
,
,则以下说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18834f4ba51bf4d490f35ed02379fec7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436364e65085e00da8e02beb676244b4.png)
A.![]() | B.![]() |
C.四边形![]() ![]() | D.![]() |
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解题方法
3 . 对于
有如下命题,其中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() |
C.在锐角![]() ![]() |
D.在![]() ![]() ![]() ![]() |
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|
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4卷引用:广东省江门市鹤山市第一中学2023-2024学年高一下学期第二阶段考试(5月)数学试题
4 . 设函数
,
.
(1)求函数
的单调递减区间;
(2)若函数
在区间
上有最小值
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda9d2ac6f362df4c0d4c0ba1baf4ec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90df0e0e54f4129f46cbe6f8f7879a67.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/257b5cac000fa7c846215d986d6aa90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
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5 . 化简
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb0e720364470308243dbeb497d183f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 函数
(
)在
上单调,且在
上存在对称轴,则
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18cb981d6dba18d01d27fc034c089339.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe386ad25a4c1cce633ed4e129127047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fed440b9f974492068a68203e5029f98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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7 . 如图,在测量河对岸的塔高
时,测量者选取了与塔底
在同一水平面内的两个测量基点
与
,并测得
,
,
米,在点
处测得塔顶
的仰角为
,则塔高
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8691c8ea88a3eb4de93256f090e6d905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc344dd373075c8ae2f1433ae499afd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e66264c240b0ca5d52a3d4c3619cea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
1164次组卷
|
4卷引用:广东省深圳外国语学校2023-2024学年高一下学期第二次月考数学试题
名校
8 . 已知函数
.
(1)求函数
的最小正周期及对称轴;
(2)在锐角
中,设角A,B,C所对的边分别是a,b,c,若
且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf2869d18b8e5af419fbe83dc19db35.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)在锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbacffbd6184d83356dc34290522529.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
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解题方法
9 . 已知
的内角
、
、
所对的边分别是
、
、
,设向量
,
,
.
(1)若
,求证:
为等腰三角形;
(2)若
,边长
,
,求
的面积.
![](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/ed62e5404e2eaff20722f7ffd377d09e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f6dc7ab670d3e65fc966461d29bc39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9dd0d1f0c67eb17b28b87c4a5675429.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/242b0af4f33851007b2052508dd3790e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8c6fbad2c0f50c0bee711922d138004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0334bc85843337c4dfcfdc5c638f9f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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|
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名校
解题方法
10 . 在
中,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
您最近一年使用:0次
2024-05-08更新
|
460次组卷
|
3卷引用:广东省广州市增城中学2023-2024学年高一下学期期中数学试题