名校
解题方法
1 . 已知函数
.直线
与曲线
的两个交点
如图所示,若
,且
在区间
上单调递减,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
_______ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e36c65ad4f3d66beaf187cec1bb201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0163d8ad2703b5d5cf91fbb06c23d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb94eaa58a8615a76a5ba3f86d68530d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0c10fe2d2c5aab2b0d2dfa8d75999c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
您最近一年使用:0次
2024-05-07更新
|
864次组卷
|
3卷引用:北京市西城区2024届高三下学期5月模拟测试数学试卷
名校
解题方法
2 . 已知角
的终边与单位圆交于点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e304cf018473bb54edb166fcd6502b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b95d47e0134efc07bd1626ee632517.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e304cf018473bb54edb166fcd6502b.png)
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名校
解题方法
3 . 已知
是第二象限角,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b80751c98f9991b9cfc03923a98834.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aff8e8f399db20c51e878b2b4b134793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b80751c98f9991b9cfc03923a98834.png)
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名校
4 . 已知函数
,给出下列四个结论:
①函数
是奇函数;
②函数
有无数个零点;
③函数
的最大值为1;
④函数
没有最小值.
其中,所有正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc083b6a3fc1fd2e8b6270fac8cbeb1.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
其中,所有正确结论的序号为
您最近一年使用:0次
名校
解题方法
5 . 已知函数
的部分图象如图,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b16a66740d7b104d01381235b5b7d8.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c00299e2356c68a36c3a4dd50d90ced1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b16a66740d7b104d01381235b5b7d8.png)
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6 . 已知圆的半径为2,则
的圆心角的弧度数为__________ ;所对的弧长为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
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名校
解题方法
7 . 在平面直角坐标系
中,角
与角
均以
为始边,它们的终边关于
轴对称,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c634aa65493615fbb40f1352a88c5aa3.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.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/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5fdec18642892e189c93a15b0d91cee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c634aa65493615fbb40f1352a88c5aa3.png)
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名校
解题方法
8 . 已知函数
的图象过点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
__________ .,若将函数
图象仅向左平移
个单位长度和仅向右平移
个单位长度都能得到同一个函数的图象,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149feed6716446899defaefa8f5b863e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d655ee6d4c2285b6f59652360862d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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9 . 声音是由物体振动产生的声波.我们听到的每个音都是由纯音合成的,纯音的数学模型是函数
.音有四要素,音调、响度、音长和音色.它们都与函数
及其参数有关,比如:响度与振幅有关,振幅越大响度越大,振幅越小响度越小;音调与频率有关,频率低的声音低沉,频率高的声音尖锐.我们平时听到的乐音不只是一个音在响,而是许多音的结合,称为复合音.我们听到的声音对应的函数是
..给出下列四个结论:
①函数
不具有奇偶性;
②函数
在区间
上单调递增;
③若某声音甲对应的函数近似为
,则声音甲的响度一定比纯音
的响度小;
④若某声音乙对应的函数近似为
,则声音乙一定比纯音
更低沉.
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279fa9854d70458218b356ac3ec2e757.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279fa9854d70458218b356ac3ec2e757.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/505326891f8035fa787a3056ad15cea8.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2d2f012ae345a715c5664d4a241eaa6.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b04b0b769a06d6bf11a3da7656b49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a210971c6c46e87d7c96c922871525.png)
③若某声音甲对应的函数近似为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e447c0e55cb63193be2ffbdcaaefdf5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a89dcff51d75c59d47683ac98fbe83.png)
④若某声音乙对应的函数近似为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d5b3c4736d2f0e197131a6327aa770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a89dcff51d75c59d47683ac98fbe83.png)
其中所有正确结论的序号是
您最近一年使用:0次
名校
10 . 已知
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb18dbecff6e51575dbee5bc69a0d4fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6d68581a66f9ffbf8c082206eb4458.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
您最近一年使用:0次
2024-04-29更新
|
166次组卷
|
2卷引用:北京市海淀区北京理工大学附属中学2023-2024学年高一下学期4月期中考试数学试题