1 . 函数
的部分图象如图所示.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
_______ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc11b563e758b1a9c4fa30297d2a2a78.png)
_______ ;若
,且
,则
的值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72871679a21fa3c9007656d712fa02d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc11b563e758b1a9c4fa30297d2a2a78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/909cb73c1e33956d68fad7db721f1223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07687d436b2b679c618b7d54ae31765a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
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2 . 在
中,若
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7112e7ccb1eb90facfa5182ea763970a.png)
________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d32220fd969663f42cd619f8cc8b355c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7112e7ccb1eb90facfa5182ea763970a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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3 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c69303bd9eccb3ccb55c9e4cd03a8a3.png)
______ ;若将
的图象向左平移
个单位长度后得到
的图象,则函数
的图象的一个对称中心为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45000fc305adab379d961b77463c21d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c69303bd9eccb3ccb55c9e4cd03a8a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aeb076bad84890e24dbdc945ad543cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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真题
4 . 在平面直角坐标系
中,角
与角
均以
为始边,它们的终边关于原点对称.若
,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](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/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7bc61fc10d8c36312cb86346ba8ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eacde1c42151734fdc60f3001b590de.png)
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2024-06-15更新
|
2836次组卷
|
6卷引用:2024年北京高考数学真题
2024年北京高考数学真题(已下线)2024年北京高考数学真题变式题11-15专题06三角函数与解三角形(第一部分)(已下线)五年北京专题05三角函数与解三角形(已下线)三年北京专题05三角函数与解三角形专题04三角函数与解三角形
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解题方法
5 . 在
中,
分别是角
的对边,且
,则角
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02746ec8e4220d8b4a174d5e9a711ed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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6 . 若函数
在区间
上为单调函数,且图象关于直线
对称,则函数
的最小正周期为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4794be662f783b33ee48c6628e1d1628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efa0e8be1515d920b50fee0e96fc6fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7953aeb8547e4ecd956e5f0254c2a718.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
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7 . 已知函数
的部分图象如图所示.
①函数
的最小正周期为___________ ;
②将函数
的图象向左平移
个单位长度,得到函数
的图象.若函数
为偶函数,则
的最小值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3458e4015b9fa3549126d4b93d1c78.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
②将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59a33482b5c998fe8741c0a6ce12ad73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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8 . 已知
中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42acd3ee01d9f843a8579ffb0b7d9d82.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69d2eec3b3ef5a2a660315db9f0feb99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42acd3ee01d9f843a8579ffb0b7d9d82.png)
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2024-05-29更新
|
846次组卷
|
2卷引用:北京市昌平区2024届高三第二次统一练习数学试题
名校
解题方法
9 . 已知
是第四象限角,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d7258de3ea69c206cd1425a8caf1b6.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa7af23345b52c5f73d6b978cc43509.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1a373d932dd938980fefafb7aff9b8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d7258de3ea69c206cd1425a8caf1b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa7af23345b52c5f73d6b978cc43509.png)
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解题方法
10 . 在平面直角坐标系
中,角
的终边过点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e304cf018473bb54edb166fcd6502b.png)
___ ;将射线
绕原点
沿逆时针方向旋转
到角
的终边,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b63e88d9ce4afb1766093727c466c577.png)
___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/397d7476fadbc4f22e4c7c4fd693a57f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e304cf018473bb54edb166fcd6502b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b63e88d9ce4afb1766093727c466c577.png)
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