解题方法
1 . 已知函数
的部分图象如图所示, 若
是边长为
的正三角形, 且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/685313bc490951b13de06481f70e21b3.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51232b0687b82e227034401b2103f744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e8acea56a9f17e6ef9bbce1633497f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99296bab1b42898e7ca336a822510258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/685313bc490951b13de06481f70e21b3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/2/8aa14072-8ad4-4d9a-95aa-db7dcb93e5b8.png?resizew=184)
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12-13高一上·江苏南通·期末
2 . 已知函数
(
)的一段图象如图所示,
则函数的解析式为_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2334d633c6e7f7cad2fb873005699244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/159de0236b67156b2ae8f71db08e3823.png)
则函数的解析式为
![](https://img.xkw.com/dksih/QBM/2012/2/1/1570708370145280/1570708375339008/STEM/12d50b1e-d010-491f-abff-a183107027f4.png)
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名校
3 . 已知函数f(x)=Acos(ωx+φ) (A>0,ω>0,|φ|<
) 的部分图象如图所示,则f(x)的函数解析式为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://img.xkw.com/dksih/QBM/2017/3/10/1640692366147584/1715842191826944/STEM/30aaaf14-04af-44fe-a8b5-f82dd0e81551.png?resizew=227)
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名校
4 . 下图是函数
的图象的一部分,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea29b3a8d4ff371ce490c6e75b590b04.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/625b8d5ab9a915516035552b03c8bf54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea29b3a8d4ff371ce490c6e75b590b04.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/398ec9a0-4050-4ae0-8a92-24ee5e4cf214.png?resizew=208)
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5 . 已知函数
,
,
的部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/5/16578a87-547d-480e-8b95-4ba2888434be.png?resizew=133)
(1)求函数
的解析式;
(2)若
,求函数
在区间
,
上的单调减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3125afb8b48cf5ecaa2edfbd881be211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc9035fb4a2a91ae2d330276bfbc604.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/5/16578a87-547d-480e-8b95-4ba2888434be.png?resizew=133)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6bdecd7e408c9a45db801b18b4cb0e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17fff6cad52af74309c2d811fa5e508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2719a15b85193b46fe37fab973dfd2f.png)
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6 . 已知电流I与时间t的关系式为I=Asin(ωt+φ).
(Ⅰ)如图是I=Asin(ωt+φ)(A>0,ω>0,|φ|<
)在一个周期内的图象,根据图中数据求I=Asin(ωt+φ)的解析式;
![](https://img.xkw.com/dksih/QBM/2016/3/23/1572554564231168/1572554570334208/STEM/c584f173-7769-45fa-b3b8-f750149ddfb8.png?resizew=170)
(Ⅱ)如果t在任意一段
秒的时间内,电流I=Asin(ωt+φ)都能取得最大值和最小值,那么ω的最小正整数值是多少?
(Ⅰ)如图是I=Asin(ωt+φ)(A>0,ω>0,|φ|<
![](https://img.xkw.com/dksih/QBM/2016/3/23/1572554564231168/1572554570334208/STEM/a16f78957ce34bf1bb7265c43c5f0cfb.png)
![](https://img.xkw.com/dksih/QBM/2016/3/23/1572554564231168/1572554570334208/STEM/c584f173-7769-45fa-b3b8-f750149ddfb8.png?resizew=170)
(Ⅱ)如果t在任意一段
![](https://img.xkw.com/dksih/QBM/2016/3/23/1572554564231168/1572554570334208/STEM/d30c31a6f5bc4a6e833239a45c1dced7.png)
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13-14高一下·江苏连云港·期末
解题方法
7 . 已知函数
,
R(其中
)的图象的一部分如图所示,则
=_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6a1a187bee0ac1a1a7849bfd06b17d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44c45ef0334070fc149b452dee26ae5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8736bd708b07bb5ddf3189f42e440428.png)
![](https://img.xkw.com/dksih/QBM/2014/10/10/1571871744450560/1571871749890048/STEM/68e871bbac744e9984a2bc776834851e.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2014/10/10/1571871744450560/1571871749890048/STEM/a7be5ac0-0462-418c-85ba-710c90604887.png)
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2018高一·江苏·专题练习
解题方法
8 . 已知函数
部分图象如图所示,点P为
与x轴的交点,点A,B分别为
的图象的最低点与最高点, ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b782d235d2cc88cff87473b6a35fb6b2.png)
(1)求
的值;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6881a255f01ab4b9dcc82dc0b533c73e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b782d235d2cc88cff87473b6a35fb6b2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/2018/1/6/1854397600817152/1856007851311104/STEM/f547ca8a3ea4499cb95b7e312ecad682.png?resizew=147)
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2018高三·江苏·专题练习
9 . 若
恰为函数
两个相邻零点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a635ce19ec0920b2d6b00f7b522cbaa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9b3ef46bfabb937ddaa23ff85f6b846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
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2018高三·江苏·专题练习
10 . 已知函数
部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/2018/1/6/1854395288797184/1855482394746880/STEM/5eb08750fa094e3bb0f542b581cc100d.png?resizew=205)
(1)求函数
的解析式;
(2)当
时,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a2b1acfc6e46513c0021c12f691734.png)
![](https://img.xkw.com/dksih/QBM/2018/1/6/1854395288797184/1855482394746880/STEM/5eb08750fa094e3bb0f542b581cc100d.png?resizew=205)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccb13f246862cecb76851b081587e5b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03cd8d7189902c854c3622e2a3f3ed8a.png)
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