1 . 求函数
的定义域为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3bd02a4dd66fa032ba63af44e3415e0.png)
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2024-01-09更新
|
300次组卷
|
2卷引用:云南省宣威市第六中学2023-2024学年高一上学期10月月考数学试题
2 . 关于三角函数有如下的公式:
……①
……②
(
)……③
利用这些公式可以将一些不是特殊角的三角函数转化为特殊角的三角函数来求值,如:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b234533c85e120f7dd9ff97b93c897.png)
根据上面的知识,你可以选择适当的公式解决下面实际问题:如图所示,直升机在一建筑物
上方
点处测得建筑物顶端
点的俯角
为
,底端
点的俯角
为
,此时直升机与建筑物
的水平距离
为42米,求建筑物
的高.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/befe5d12d0fe4c28a0a4fbafaa9db499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4b723500500ef61059ddad360f0200.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570b1b76ebbfd021053f2428b69d6892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0498edee33a5fe35a7df4c08143816a8.png)
利用这些公式可以将一些不是特殊角的三角函数转化为特殊角的三角函数来求值,如:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b234533c85e120f7dd9ff97b93c897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e680e139402b2a810c3d7bc9872ce25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a4c9b697e3df2b5469b71d3b5e47a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/f0e2468e-ebd1-48e2-8f7d-bb41af47c82d.png?resizew=123)
您最近一年使用:0次
3 . 下列计算正确的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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4 . 如图,一次函数
(
)的图象分别与
轴,
轴相交于点
,
,与反比例函数
(
)的图象相交于点
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/26/f1733a5a-7c03-43c9-a899-39fcf4ad64b4.png?resizew=166)
(1)求一次函数和反比例函数的表达式;
(2)当
为何值时,
;
(3)当
为何值时,
,请直接写出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41d49bb2fdf76bbf030f0749462ab208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1326c3aac61397f6be2d46bfbb8fe917.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/6db8dc0564b187f7adb8184f714ab5da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f494e4db0034036232b9857b95ca8cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a630a706ad5c594a157111613c9fb80d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d549fd5b1e6da722932fe43675d5ff18.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/26/f1733a5a-7c03-43c9-a899-39fcf4ad64b4.png?resizew=166)
(1)求一次函数和反比例函数的表达式;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcdb7671e6056d842cdc88fb523467f.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac67e9a909472ab852d38d2ec66a1e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
5 . 若正多边形的一个外角是
,则该正多边形的内角和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
6 . 如图:在平行四边形
的边
,
上截取
,
,使得
,连接
,点
,
是线段
上两点,且
,连接
,
.
(1)求证:
;
(2)若
,
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7c581dab991aeadf06d972e47673ea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a74fa1d77910529e4eda3b2d70f40a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/25/55e0d838-89da-4cfa-9dda-8e4e571d1bda.png?resizew=225)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c883ea424e7bc9db19d5e35a6ec63134.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760d7546f3f4f788eabf9c493fcdc867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f898fd9009607f692cddda426d179427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bcb22ca5b9cdfeebca14bdfad0b8f29.png)
您最近一年使用:0次
7 . 一商店在某一时间以每件120元的价格卖出两件衣服,其中一件盈利20%,另一件亏损20%,在这次买卖中,这家商店( )
A.不盈不亏 | B.盈利20元 |
C.亏损10元 | D.亏损30元 |
您最近一年使用:0次
8 . 先化简,再求值
,其中
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b369c8bb5c7b6a6dcafbe0634f806736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3053399d2f91ca2f7dda29e7c5d64397.png)
您最近一年使用:0次
9 . 若分式
的值为0,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd6fb9b131af49fc98eba537f7c980ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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10 . 如图,
是
的中位线,若
,则
的长是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/16/41534aa3-a5b8-4172-b255-faf244e61bb3.png?resizew=162)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/16/41534aa3-a5b8-4172-b255-faf244e61bb3.png?resizew=162)
A.3 | B.4 | C.5 | D.6 |
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