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1 . 下列说法正确的有( )个.
①若角
与角
为锐角
的两个内角,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b48895daa87c296d961bfd0d4fd386.png)
②函数
的图像的对称中心为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b30178cf2a252263a371af19101fa6b.png)
③周长为8,面积为3的扇形所对的圆心角为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150c57a06c477de15520c289e2adabf1.png)
④第一象限角不都是小于
的角,但小于
的角都是第一象限角
⑤若
,且
,则
①若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b48895daa87c296d961bfd0d4fd386.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d3744aa1b193855b1e8c79c3acf78a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b30178cf2a252263a371af19101fa6b.png)
③周长为8,面积为3的扇形所对的圆心角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150c57a06c477de15520c289e2adabf1.png)
④第一象限角不都是小于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/140d770d2bcf921a2bc29267fa69aafc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b06f37bd322af6e273ceb66bac49a716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c9604d031a1bad6472ba6b199576b5f.png)
A.1 | B.2 | C.3 | D.4 |
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2 . 如图,在三棱锥
中,
平面
,垂足为点O( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/8f79b338-852e-4989-817e-80eb8ed71fc4.png?resizew=161)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e126c16032892966489053f44b9048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/8f79b338-852e-4989-817e-80eb8ed71fc4.png?resizew=161)
A.若![]() ![]() |
B.若该三棱锥的外接球的球心在![]() ![]() |
C.“![]() ![]() |
D.“![]() ![]() |
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3 . 在平面直角坐标系xOy中,已知直线l过点
,圆
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32366143230ca122894a4bada7c7b96d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e44d6bb8e93884409b415abea21137.png)
A.过点![]() ![]() |
B.若直线l的一个方向向量为![]() ![]() ![]() |
C.若直线l的一个方向向量为![]() ![]() |
D.当m=-8时,直线与圆C相交的最短弦长为2 |
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4 . 已知复数
满足
(其中i为虚数单位)( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b8700acc1e1d8538e442b6df6751bf8.png)
A.![]() |
B.设![]() ![]() ![]() |
C.在复平面内![]() ![]() ![]() |
D.记向量![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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5 . 如图,半径为1的光滑圆形轨道圆
、圆
外切于点
,点
是直线
与圆
的交点,在圆形轨道
、圆
上各有一个运动质点
,
同时分别从点
、
开始逆时针绕轨道做匀速圆周运动,点
,
运动的角速度之比为2:1,设点
转动的角度为
,以
为原点,
为
轴建立平面直角坐标系.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/16/a3caae4b-8289-42c1-947d-668cd04ac031.png?resizew=174)
(1)若
为锐角且
,求
、
的坐标;
(2)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/16/a3caae4b-8289-42c1-947d-668cd04ac031.png?resizew=174)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5bb3cfc78d9bc2316c66f79c45955e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
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3卷引用:辽宁省沈阳市沈河区第二中学2021-2022学年高三数学暑假验收试题
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6 . 检测视力时,常用4.8,4.9,5.0,…来记录视力水平,这种“5分记录”法的数值与《标准对数视力表》中“视标
”的大小有关,“5分记录”值(L)和“视标
”边长(M)满足
(k为定值,且
).已知4.9对应视标的边长约为92毫米,5.0对应视标的边长约为73毫米,则5.1对应视标的边长约为( )
![](https://img.xkw.com/dksih/QBM/2022/6/26/3009747822305280/3016168573337600/STEM/b55689c5611f4cc79d1c19766ed0f958.png?resizew=15)
![](https://img.xkw.com/dksih/QBM/2022/6/26/3009747822305280/3016168573337600/STEM/b55689c5611f4cc79d1c19766ed0f958.png?resizew=15)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27d79b557c12ef63ac6a04423c8d91c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
A.52毫米 | B.54毫米 | C.56毫米 | D.58毫米 |
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7 . 下列叙述中错误的是( ).
A.若函数![]() ![]() ![]() ![]() |
B.“![]() ![]() |
C.![]() |
D.![]() ![]() |
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8 . 给出下列四个命题:
①函数
与直线
的交点个数为0或1;
②集合
,
,若
,则
;
③函数
为奇函数的充要条件是
;
④函数
的反函数是
.
其中所有正确命题的序号是___________ .
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
②集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92defe532e75dda6a54fb5237df0f0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47492deca35a820623067e465e1042cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fbfbddb0c002b577cb3c1fcd0fe62df.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5085a9de457345cc5f7bc0e6064ed75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a783088120d67cc98936081e80fb7f.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2194c7d8174c63606dc3846caa707a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5de156287dd1eca14853c6fcdf25dff.png)
其中所有正确命题的序号是
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9 . 已知函数
的定义域
,且
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c81a0bb9174e7784a21e87cc0e07253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bd6e035a5577988a6fbb8d49e87156.png)
A.![]() |
B.![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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5卷引用:辽宁省沈阳市第一二〇中学2021-2022学年高一上学期第三次质量检测数学试题
辽宁省沈阳市第一二〇中学2021-2022学年高一上学期第三次质量检测数学试题江苏省南通市海门中学、泗阳中学2021-2022学年高三上学期第二次诊断测试数学试题(已下线)热点03 函数及其性质-2022年高考数学【热点·重点·难点】专练(新高考专用)(已下线)2022年全国新高考Ⅰ卷数学试题变式题1-4题(已下线)2022年全国新高考Ⅰ卷数学试题变式题9-12题
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10 . 已知曲线C的方程为
,给定下列判断,其中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f6f54e1e3e2b43fb638689c3bdf4a2.png)
A.方程C表达的图象有可能是焦点在x轴上的椭圆: |
B.方程C表达的图象有可能是焦点在x轴上的双曲线. |
C.方程C表达的图象有可能是抛物线 |
D.方程C表达的图象有可能是直线 |
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