1 . 我们不妨约定:在平面直角坐标系中,若某函数图象上至少存在不同的两点关于直线
(n为常数)对称,则把该函数称之为“
函数”.
(1)在下列关于x的函数中,是“
函数”的是__________ .(填序号)
①
;②
;③
.
(2)若关于x的函数
(h为常数)是“
函数”,与
(m为常数,
)相交于
两点,A在B的左边,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1be7302f2e9ff02fee3fcf26e77b1c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1da54ac8437ac735fb49b27b42d0af5.png)
(1)在下列关于x的函数中,是“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1da54ac8437ac735fb49b27b42d0af5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/498bcfd1aac03057dcd0adef2dd113a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7222e0ddab019e0f491ff028a7eec812.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26212ec7bdae17218544433866f8572d.png)
(2)若关于x的函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02108a79e42795e6e2f40cf5e89b0ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20042b812f4344224dca7a6549f5410b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa1263a739f264e93e1b5063d1f5f46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e7cd0824107cef93da8a01227e2cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c157fa6049a060759b2521958f82b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2 . 在下列说法中
①若函数
定义域为
,
,则其值域为
;
②已知
,对于任意
,
,且
,都有
;
③函数
,
且
的图象不过第一象限,则
,
;
④函数
与
的图象有且只有三个公共点;
⑤不等式
对满足
的一切实数
都成立,则
;
⑥定义:如果对任意一个三角形,只要它的三边长
,
,
都在函数
的定义域内,就有
(a),
(b),
(c)也是某个三角形的三边长,则称
为“三角形型函数”.函数
,
,
是“三角形型函数”.
其中你认为正确的有__ ;
①若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a04546d92fd165fc1ad2cc82c2dbb25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f124fb9eab689c537bb5ddf5012e35f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/540b1c1d264521bb5d94b24789101793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a1850af7f41943dc2d09017410727f.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af07d272da54872ad5a5d2c8181760af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f1a5699410baa270f3fa8153ab346e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95b2a374ef051a3aadaf5cc2ed055b7.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f989737e3cc5ec3a8d6b798a05a9dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d74d706d2e4392e25016e9101d07ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbea4ca0ff380f26dfe064a4f1921504.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
⑤不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05b0432e78aca5cc51aac1caa12a1d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/138191693e902bc728981bc6b399f702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e8b1b2f02a67f9419e76cce7d568ac.png)
⑥定义:如果对任意一个三角形,只要它的三边长
![](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/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/635e48dd8da911c43ec55a368aa6debc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe9c607fe139845fac91b6f00c10b33f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7ddb5245cbaa046b6e554dcb540a88.png)
其中你认为正确的有
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3 . 周期信号在电子技术领域具有重要作用.某电路中,一个元件的输入电流是时间t的函数,其解析式为:
,其中参数,m均为常数,且
,
;这个元件的输出电流为:
,记T为电流
的最小正周期,在
内,记满足
的t的区间的长度之和为
,称
为电流
的“占空比”.给出下列四个结论:
①若
,
,则电流
的“占空比”为
;
②保持
的值不变,电流
的“占空比”随m的增大而增大;
③保持m的值不变,电流
的“占空比”随
的增大而减小;
④保持
的值不变,记当
和
时,电流
的“占空比”分别为
和
,则
.
其中所有正确结论的序号是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c04838c5d453382e555f150b01e301c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c857a71e0ca361a20267b465afc92794.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95526b4e6c90f5c488465da2deae916c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3edb4782d23de001cc3fbabff6898d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bedd011a1815cc862756a0f2d9d4ea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41309c6138c8c71cd53c86eb95cfdee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0a60c4d93d1233896b5a718875dc6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3edb4782d23de001cc3fbabff6898d5.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dcee772e6187ac31d7f8d69b0487000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3edb4782d23de001cc3fbabff6898d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
②保持
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3edb4782d23de001cc3fbabff6898d5.png)
③保持m的值不变,电流
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3edb4782d23de001cc3fbabff6898d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
④保持
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a87269f9f7542d4aa50b3911b3ebad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65fb74793a4e04ba65a0536e568c25e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3edb4782d23de001cc3fbabff6898d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b5dc876d7dcd3c971b36d26668b1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7345f310975ddb40dca94b5135c35dad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a85ea4968343b0d94ed2fe01b535.png)
其中所有正确结论的序号是
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4 . 已知函数
的定义域为R,①对一切实数x,都满足
,则
的图像关于直线
对称;②在二次函数
中,若
,则该函数图像与x轴有交点;③
表示
和
中较小者,则函数
的最大值是4.以上结论正确的序号是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8127a4b0b81fdeefcfb9bdc2c7dd05d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bd0587f5d6a3b5db9e4a93e0dbc0ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9deb79d044a379f31a8fc57736d7ead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3142baee9e94e73c863cd4257a82406d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34596b4dd2a7129cc6f939cdb466cb53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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2022高三·全国·专题练习
解题方法
5 . 已知
周期为1,则命题p:“
”是命题q:“
恒为1”的_________ 条件?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57232c1c030dfe6f4aa15439e76e54a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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