解题方法
1 . 已知二次函数
(
、
、
为常数,
)的图象开口向下,对称轴为直线
,且与
轴的一个交点在点
,
之间,下列结论正确的是______ (填写序号).
①
;②
;③
(m是一个常数);
④方程
(m是一个常数)的根为
,
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2a5e336b6bcba6354fd366c892dd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2c84e7b41a841a230ed5f8a42309aa.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd2336e50c0afb3e8e73a6ea9070ded.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e54d15b35d41cbf25d6830c5f2a79884.png)
④方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d64d1be241deba646016e4096cd844bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e961de5484a66c06c6ef9ec118ac83.png)
您最近一年使用:0次
名校
解题方法
2 . 关于函数
有下列结论:①其表达式可写成
;②直线
是曲线
的一条对称轴;③
在区间
上单调递增;④存在
使
恒成立.其中正确的是______ (填写正确的番号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a7a14dcaf4d80e43b46f703dc7703fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a53edd879fecc08ea441ec4053c365d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb2133a8576a013055f8fab50f52c215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04f5684d862b1be1f8883838fa93b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f102439ebd1efd422f04209ecec2bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304f02306c0cf5f59f2d13293d02dd59.png)
您最近一年使用:0次
2022-02-13更新
|
1013次组卷
|
5卷引用:四川省凉山州2021-2022学年高一上学期期末考试数学试题
四川省凉山州2021-2022学年高一上学期期末考试数学试题四川省凉山州宁南中学2021-2022学年高一下学期开学考试数学试题(已下线)第02讲 二倍角的三角函数-【帮课堂】2021-2022学年高一数学同步精品讲义(苏教版2019必修第二册)(已下线)5.5三角恒等变换C卷(已下线)第五章 三角函数-【优化数学】单元测试能力卷(人教A版2019)
名校
3 . 如图,矩形
中,
,
为边
的中点,将
沿直线
翻折至
的位置.若
为线段
的中点,在
翻折过程中(
平面
),给出以下结论:
①三棱锥
体积最大值为
;
②直线
平面
;
③直线
与
所成角为定值;
④存在
,使
.
则其中正确结论的序号为_________ .(填写所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80f51c31583fea58fde645474d60b8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa2a83fed9bf4cb09d84a980452e346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8588e18e27bfebf7c81c7e3c7efb1149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
①三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb79f948d408ab4fb6708bde172c5e5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11b9f96b8ecc3cb000bb2f030809f225.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8c70966a318ef8ecf874257f5c5e5db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657dffbd3623b705f871878fbd9df57e.png)
③直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce1b066f8869d0ff4513f7a99745125.png)
④存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa2a83fed9bf4cb09d84a980452e346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2181c78134c310f746eab44b9124e63b.png)
则其中正确结论的序号为
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/2/db8c3c80-3639-479e-8ae4-e7aeaef6394b.png?resizew=239)
您最近一年使用:0次
2022-07-01更新
|
1382次组卷
|
5卷引用:四川省遂宁中学校2022-2023学年高二上学期9月月考数学(理)试题
名校
4 . 已知函数
,有下列说法:
①函数
对任意
,都有
成立;
②函数
在
上单调递减;
③函数
在
上有3个零点;
④若函数
的值域为
,设
是
中所有有理数的集合,若简分数
(其中
,
为互质的整数),定义函数
,则
在
中根的个数为5;
其中正确的序号是______ (填写所有正确结论的番号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2396ddd498ea0a67976faee085a9040.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5182a8b74c894231021e20380f864fb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01b783b94032c6075b6216f4b004422.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f96171f9701745c5aa7a12c1a56f258d.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404eebc73c42da1958ee5f45fb0dc234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
④若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9dca0c96ffbbe2d1cd3feb48aaad70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38a9460c3fda4a1eb640321a08e7e463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c656b2c02623702ed1cf97b7e31e12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cada71a249d4ba0dee9c0fa9ab5e2c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
其中正确的序号是
您最近一年使用:0次
名校
5 . 将以下正确命题的序号填写在横线上___________ .
①若
,
,且
与
夹角为锐角,则
;
②点O是三角形ABC所在平面内一点,且满足
,则点O是三角形ABC的重心;
③若ΔABC中,
,则ΔABC是钝角三角形;
④若
,则点P为ABC的内心.
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ede01fff8fb96b5353de30ddb5fe25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8527f22b1b047dffea143540020f012.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e04b733c818593ed500c5fc9ccb2397.png)
②点O是三角形ABC所在平面内一点,且满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec09a159d6760fca8ae5966bf97b4e49.png)
③若ΔABC中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9febc06d38eca1b79f6c71f3c126aed3.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5965f05ab9d3d721515717affeaa4d9.png)
您最近一年使用:0次
2019-12-15更新
|
1600次组卷
|
3卷引用:四川省德阳市什邡中学2018-2019学年高一下学期4月月考数学试题
解题方法
6 . 在四面体
中,
分别是
的中点.则下述结论:
①四面体
的体积为
;
②异面直线
所成角的正弦值为
;
③四面体
外接球的表面积为
;
④若用一个与直线
垂直,且与四面体的每个面都相交的平面
去截该四面体,由此得到一个多边形截面,则该多边形截面面积最大值为
.
其中正确的有_____ .(填写所有正确结论的编号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecb5153d0153f8bc487c77fee73acfa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d93949d8a15aca4e79cedb978590571.png)
①四面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
②异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3c032441543354c154ee67d744abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfe975874e9c8ac38a8c0e3354e1024.png)
③四面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2df974afaeb5e77fe9f94354aee551cf.png)
④若用一个与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
其中正确的有
您最近一年使用:0次
名校
7 . 已知
中,角
、
、
所对的边分别是
、
、
且
,
,有以下四个命题:
①
的面积的最大值为40;
②满足条件的
不可能是直角三角形;
③当
时,
的周长为15;
④当
时,若
为
的内心,则
的面积为
.
其中正确命题有__________ (填写出所有正确命题的番号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08ce80e91fdf435a8e3ec05be990e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5df6bb52902ef2cb7ba7ef1a681cdb1a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
②满足条件的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b9446d7b31f0d6e044cf99deeb20aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b9446d7b31f0d6e044cf99deeb20aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd2981bf2261343f905ec1b5355a3c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619096595112f0340a43b756e114dd3d.png)
其中正确命题有
您最近一年使用:0次
2018-03-29更新
|
1328次组卷
|
4卷引用:四川省德阳市2018届高三二诊考试理科数学试题
解题方法
8 . 已知函数
,关于
的方程
有以下结论:
①当
时,方程
恒有根;
②当
时,方程
在
内有两个不等实根;
③当
时,方程
在
内最多有
个不等实根;
④若方程
在
内根的个数为正偶数,则所有根之和为
.
其中正确的结论是__________ (填写所有正确结论的番号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb1152dac89a5550489f036c7c59fc72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c5a01371237d9f145c03922f313fc8.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c5a01371237d9f145c03922f313fc8.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4d0aca3657c6d99e820e2567f18683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c5a01371237d9f145c03922f313fc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bccd6a6e85bdf500218a3e75b31f3c.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c5a01371237d9f145c03922f313fc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267e1007ff46f40af735a749d6650646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
④若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c5a01371237d9f145c03922f313fc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267e1007ff46f40af735a749d6650646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d93ea6b78c16307d56cba63315d0051.png)
其中正确的结论是
您最近一年使用:0次
名校
9 . 以下说法正确的是_______ .(填写所有正确的序号)
①若两非零向量
,若
,则
的夹角为锐角;
②若
,则
,反之也对;
③在
中,若
,则
,反之也对;
④在锐角
中,若
,则
①若两非零向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbc0945b4e1962e66f6f7e7f6af235d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2cc1f1ef9ad32eef62aefa4c3fc3d6b.png)
③在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19dc38d888741a1b2e95fe0773a48c38.png)
④在锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa8d75a6638e08eedbff8662267da6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79fba1cd42684bd8978cede10fb311e1.png)
您最近一年使用:0次
名校
10 .
的内角
,
,
所对的边分别为
,
,
.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/0faed94a64b2dcfc6801b4fca0f16675.png)
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90929097f9e4ec1b521a224aaa485d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585d85a95ae83e6b7e4556eb63f3eeb6.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18dccba7bc301e4913b1a4856afae466.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d697d914ec99d6edb5a6ab7efe1c5686.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a15a13b4190ac3d5feaee27a4c97b21b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be706891a18cdd3ae6d514d34990b3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530be0354ac54e554421d9c82e5070e4.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e58303bdbbdf9b78308135ee1ed413d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
其中正确的是
您最近一年使用:0次
2017-12-05更新
|
1407次组卷
|
6卷引用:四川省遂宁市射洪县射洪中学等2019-2020学年高三上学期第四次大联考数学(文)试题