某城市一年中12个月的平均气温与月份的关系可近似地用三角函数
来表示.已知6月份的平均气温最高为
,12月份的月平均气温最低为
,此函数的最小正周期为______ ,10月份的平均气温为______ °.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ead47dc0cd498b275bebcd50599e660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aee6e4e9350a2665df8597ff8045bbd.png)
更新时间:2024-05-21 15:43:32
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解题方法
【推荐1】已知定义域为
的函数
同时满足以下三个条件:
①函数的图象不过原点;
②对任意
,都有
;
③对任意
,都有
.
请写出一个符合上述条件的函数表达式为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
______ (答案不唯一,写出一个即可).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①函数的图象不过原点;
②对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62826e5114ece563439421509970dc12.png)
③对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e06cf199b0f36c8038a2aabda46f33.png)
请写出一个符合上述条件的函数表达式为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
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【推荐2】已知函数:①
,②
,③
,则其中最小正周期为
的函数的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a869a76555f3369728f9005863bdb8eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9214539e367939d3f4676758334411d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ce0fbb1e25498792fc5fda113d1c710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
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解题方法
【推荐1】已知
,试写出一个满足条件①②③的![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
__________ .
①
: ②
: ③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6872deb9cce047f493f922efe970161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219e526faaa7fb02d01ec55b947a9dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feba51f5d46287df0a0d62cc21b2572f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2efbe067c3e742c7c27f87cf52fbea93.png)
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【推荐2】已知函数
,满足:
恒成立,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
__________ ,函数
在区间
内有__________ 个零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e05c526e0fa965b4e5b981b5e77e15a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f1f7a4dff2b6eaef8b5208bbb78fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4dfa38f0872e435fe7203d5aa1a100.png)
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解题方法
【推荐1】如图所示,设计一种测量建筑物
高度的方法.
,
,
三点在同一条水平基线上,在
,
两点处用测角仪器测得的仰角分别为
,
,
米,若测角仪器高度忽略不计,当建筑物高度![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
__________ 米时,角
的值最大.
![](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/c5db41a1f31d6baee7c69990811edb9f.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/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3094a525bf01e017760385f93b2a490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd927b4b5a7875528c1b54aa4bb8b2dd.png)
![](https://img.xkw.com/dksih/QBM/2022/5/25/2987010527412224/2988279555096576/STEM/46906bba9a82402b8f9cfdc9f0805a67.png?resizew=206)
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【推荐2】已知某地一天的温度
(单位:
)与时间
(单位:
)近似地满足
,则该地这一天的最大温差为______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a38af6f3e58b56d608e191bafe0212d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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