1 . 已知关于x的方程
(a>0)有正实数解,则a=__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8c8bcccffd84f60e3daa8f6fd2bc46c.png)
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2 . 已知函数
为奇函数,则α的值可能为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f30c36a0fbec7410e96ed9348df0db.png)
A.0 | B.![]() | C.![]() | D.![]() |
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2021-09-07更新
|
376次组卷
|
3卷引用:2020年浙江省温州市摇篮杯高一数学竞赛试题
3 . 不等式组
所表示的平面区域的面积为_________ ,若P(x,y)是该区域上的一点,则x-|y|的取值范围为_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2040c142d0e8f861cadbd470f3c6daf6.png)
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4 . 如图,在
中,D为边
的中点,
,则
=________ ,
=__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/970e604196bdfb0b6fa35d6d14b71d42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e5d4f93699f8dcffb0e7840ca5597e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/2021/8/21/2790849225170944/2803162736074752/STEM/9377831f05e144598cfb845c85e4ca1e.png?resizew=247)
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5 . 已知a,b∈R,函数
,
.
(1)当a=1,b=0时,求方程
的根;
(2)设函数
在[-2,2]上的最大值为G(a,b),当G(a,b)取得最小值时,求2a-b的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39f53dca784e409fc6b92d060be2067f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/055fd1d9cd5048a39e76f56215efba19.png)
(1)当a=1,b=0时,求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f8bfb563f79688d136e0cb958b5153c.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71607511fdd4faa9e832345ceb2a817d.png)
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6 . 已知函数
(a∈R)满足
.
(1)求
在区间[0,
]上的值域;
(2)若
,
.求sin
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1974017be0dd1b5cebf6215c37cc3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ccd687226b273d560cb53199b99671.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108efecca32d192f64a7cc27a6b2e8a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c067c43427ea70eb0949c4d10f9883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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7 . 在
中,角
所对的边分别为
,若
,
,则
的面积为()
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a846006179b938f691824a7f53c0dbf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/680575957a2e8c2279858406245beaaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知数列
满足
,
,数列
的前
项和为
,则使不等式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed52052b02762c35a651572215d0826.png)
成立的最小正整数
的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c5b1b1cbd3544ae1812b9f65e957784.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed52052b02762c35a651572215d0826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8b11cd2083a38e421928fea51168e0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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9 . 已知集合
,则
( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1faf6a3c2aee48faef9a2cf122e49651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.![]() ![]() |
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10 . 已知角α的终边经过点P(m,2sin215°-1),若cosα=
,则m的值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642a7dd471434c923f76809dfa5ee183.png)
A.1 | B.![]() | C.±1 | D.±![]() |
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