21-22高一·全国·课后作业
解题方法
1 . 已知
,则sin 2θ=________ ,sin θ+cos θ=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f2177127878433cb832e9abe5620ba.png)
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21-22高一·全国·课后作业
2 . 函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb34bc5bf8a1cd4c9095e5fc02b8080d.png)
_______________ (化成
的形式,且
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb34bc5bf8a1cd4c9095e5fc02b8080d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8193b5bf401c0d7a15f6ce43d2efc4d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
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3 . 将下列各式化成
的形式,其中
,
,
.
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0b63da5316fa1cdb839aafa5be4f7a.png)
___________ ;
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78bfa54bbbb2cd37fa55a705cc7b21c3.png)
___________ ;
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822e2d1ce04d91ad20d56d5262280ba4.png)
___________ ;
(4)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55b8bcacc8f91404ab95d0a063a1a24.png)
___________ ;
(5)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bcb685e587a83ed3f0da340e1ac3617.png)
___________ ;
(6)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18cc0c4a4d2fac774a9afe63fdfb84a.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e529ccd3f1f64a1c1c26fa01c4ea9d7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6af3e2115ce0aaf5b99ac70c4441d1.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0b63da5316fa1cdb839aafa5be4f7a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78bfa54bbbb2cd37fa55a705cc7b21c3.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822e2d1ce04d91ad20d56d5262280ba4.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55b8bcacc8f91404ab95d0a063a1a24.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bcb685e587a83ed3f0da340e1ac3617.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18cc0c4a4d2fac774a9afe63fdfb84a.png)
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解题方法
4 . 对任意实数
,不等式
恒成立,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aaf762f6b8ae9d786dd516ea36e959e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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5 . 函数
,
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdf7028a127aa03d90678b961646bb6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff39d36c280712d56209bf86683e5aaa.png)
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6 . 给出下列命题:
①存在实数
,使
;
②若
、
是第二象限的角,且
,则
;
③若
,则
;
④若
,
且
,则
.
其中正确的命题的序号是______ .
①存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baed9c0f6b3fac70203213a621f142ad.png)
②若
![](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/116a4f1c8b51d1993e6d7c054e2ed5d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf061a36f912669d146fb58e89abce22.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d6063ee5703cb140dfc69c9cde0bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca3c4f4fddffde87452df1f56805cd4.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14f65044c12d07e5f37b5e0e68d9f5af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d8b3696b33d5408b0e888190739371b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f815c413004b679af48666208de5b52.png)
其中正确的命题的序号是
您最近一年使用:0次
名校
解题方法
7 . 当函数
取得最大值时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/022acf556960b192b7d9dec79641fe05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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2021-11-30更新
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20-21高一·全国·课后作业
名校
8 . 若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83edffc263ce725d2384524713f14e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6eec7d75a66a4407631f75320bb8b15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
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2021-11-12更新
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20-21高一·全国·课后作业
9 . (1) 计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/538130f7b17fcec31c4bfc74b91da3f8.png)
________ ;(2)化简:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3fdeb76beef1b516281799f6b7913c6.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/538130f7b17fcec31c4bfc74b91da3f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3fdeb76beef1b516281799f6b7913c6.png)
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名校
10 . 若在
内有两个不同的实数值满足等式
,则实数k的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f457df0f9d14437a7f0443bb297e6ee8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980f6373e91a9031e233fd9f377c1086.png)
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2021-10-18更新
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