1 . 设函数
的定义域为
,如果对任意
,都存在唯一的
,使得
(
为常数)成立,那么称函数
在
上具有性质
.现有函数:
①
;②
;③
;④
.
其中,在其定义域上具有性质
的函数的是_______ .(请填写序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37cb15d282a40c780c2b68287e47867e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28e384ba050b238e11f7c74d3002aab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e63df36c6387aab1039bc431c5317941.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b28419dc9aa7bf189c07fd7363ae10.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d2c1ac861aad057fbe7734cae19f1b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246de316aacce5e2a1b482840ff02f82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d9b6c2e49d3b364792fda2cab1dd48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd57ea26ad54a7381754ade671ef1ab4.png)
其中,在其定义域上具有性质
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b28419dc9aa7bf189c07fd7363ae10.png)
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2 . 判断正误(正确的填写“正确”,错误的填写“错误”)
(1)两角和与差的正弦、余弦公式中的角α,β是任意的.( )
(2)存在
,使得
成立.( )
(3)对于任意
,
都不成立.( )
(4)
.( )
(1)两角和与差的正弦、余弦公式中的角α,β是任意的.
(2)存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7170baf4e8fc6bf3dd518cc49bf736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b839269b506f3abcf4458ecd3a8cfd.png)
(3)对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7170baf4e8fc6bf3dd518cc49bf736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/649c3008c4545c195e0f279606f881c9.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75124fba8b95791947cf8eff99a84630.png)
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3 . 已知
,函数
在
上单调递减,则实数
的取值可以是__________ .(填写一个正确答案即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3521e68e3d0a927c4281bb159b3c9534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcc7166d9949cad9e2c3b3fd1fe5b9fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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4 . 函数
是______ 函数.(填写“奇”、“偶”、“既奇又偶”、“非奇非偶”)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3760346a05921d1c2710b4063e73f5d4.png)
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5 . 请研究与函数
相关的下列问题,在表中填写结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c111ae39998037ad9c2eef5a892b3e6.png)
问题 | 结论(不需要过程) |
求![]() | |
求函数![]() | |
写出![]() | |
写出![]() ![]() | |
写出![]() |
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名校
6 . 已知
,关于该函数有下面四个说法,
①
的最小正周期为
;
②
在
上单调递增
③当
时,
的取值范围为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82443820d05fb94887d41bc09f02b0e6.png)
④
的图象可由
的图象向右平移
个单位长度得到
其中正确的是______ (填写序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddddfd6956a8400c6b5649ada8edc435.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c9af1bc5ff872a96651a35f47330da.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e670a46456df1a78e6f7ac39cd94fd21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82443820d05fb94887d41bc09f02b0e6.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0df9f3b6523fdd4ae00bd425105bf766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e24f048f9a87274863ba2c037d7a5c.png)
其中正确的是
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7 . (1)若数列
的通项公式为
,则该数列中的最小项的值为__________ .
(2)若
的展开式中含有常数项,则n的最小值等于__________ .
(3)如图所示的数阵中,用
表示第m行的第n个数,则以此规律
为__________ .
(4)
的内角A、B、C所对的边分别为a、b、c.已知
,且
,有下列结论:①
;②
;③
,
时,
的面积为
;④当
时,
为钝角三角形.其中正确的是__________
填写所有正确结论的编号
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22363774130b5db04c49b36bc4d58001.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bbdb3fc9614438947c7f1537ec64765.png)
(3)如图所示的数阵中,用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a66c5f00b5b38a2d052354b5611970e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01a9aa3e38f912969450d2a1fe5ffcae.png)
![](https://img.xkw.com/dksih/QBM/2022/3/8/2931802799407104/2938048186130432/STEM/b7d18d9015bb45d3a6959a5b0edfd3df.png?resizew=208)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92a37dbc8484f51a3d2a25a509838d86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef1e7984a935eb4ac5730ccea966af4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18dccba7bc301e4913b1a4856afae466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d697d914ec99d6edb5a6ab7efe1c5686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a15a13b4190ac3d5feaee27a4c97b21b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adac343f5a716a1959eb0abbcdac0bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530be0354ac54e554421d9c82e5070e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e58303bdbbdf9b78308135ee1ed413d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a301324443eb93b467134a86890dd9ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
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2022-03-17更新
|
1403次组卷
|
4卷引用:湖北省武汉市武昌区2022届高三下学期3月模拟数学试题
湖北省武汉市武昌区2022届高三下学期3月模拟数学试题(已下线)考点25 二项式定理及其应用(核心考点讲与练)-2023年高考数学一轮复习核心考点讲与练(新高考专用)(已下线)考点09 解三角形-1-(核心考点讲与练)-2023年高考数学一轮复习核心考点讲与练(新高考专用)江苏省无锡市2022届高三下学期3月模拟数学试题
名校
解题方法
8 . 在△ABC中,若
,则△ABC一定是__________ 三角形.(请填写锐角,直角,或钝角)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88df5e6371e55fc29278e7ec93e1391.png)
您最近一年使用:0次
2023-05-05更新
|
732次组卷
|
4卷引用:苏教版(2019) 必修第二册 一课一练 第10章 三角恒等变换 10.1 两角和与差的三角函数 第2课时 两角和与差的正弦
9 . 下列等式中,正确的有______ .(填写所有正确等式的序号)
①
;②
;③
;
④
;⑤
;⑥
.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb86f92b0d2bd3948f6f02a08a6f35d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf84877ff8763f1d315db705b5c237c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/861bd69fbfe0baa1379a8c4b5b6ce905.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84bc92abc108eff6bcb282eff47583ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005228af05b4c39a4298b929e6570db5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c00268a3bcf782eca7b1d9b92556748.png)
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10 . 函数
是______ 函数.(填写“奇”、“偶”、“既奇又偶”、“非奇非偶”)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/296428969fb7984998473bc367eaad3a.png)
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