2012·四川自贡·三模
1 . 对于三次函数
,定义
是
的导函数
的导函数,若方程
有实数解
,则称点
为函数
的“拐点”,可以证明,任何三次函数都有“拐点”,任何三次函数都有对称中心,且“拐点”就是对称中心,请你根据这一结论判断下列命题:
①任意三次函数都关于点
对称:
②存在三次函数
有实数解
,点
为函数
的对称中心;
③存在三次函数有两个及两个以上的对称中心;
④若函数
,则: ![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/cbdd6b14556e4870b23f8c1dcfe4e3ad.png?resizew=373)
其中正确命题的序号为_____ (把所有正确命题的序号都填上).
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/21ac331a5b0e4b30b00b0bfc8770a14a.png?resizew=213)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/60cd76baa3484586a3fab13c0e7d75f7.png?resizew=41)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/ca5c67acb37e4344aca4776bfadbb516.png?resizew=61)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/9b22cb4ef676428f863b199d569eff7a.png?resizew=65)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/4aeca168313f4352a09e9371cf7fe4f8.png?resizew=67)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/bed6f27974b441c4901f45d1999f3071.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/4a1972c93ff74273a10d6e3a25e47433.png?resizew=75)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/ca5c67acb37e4344aca4776bfadbb516.png?resizew=61)
①任意三次函数都关于点
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/86f6c82c145b4959a4570a0ff352e9e1.png?resizew=104)
②存在三次函数
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/9263178288534479a8555ceebddfcf6e.png?resizew=64)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/bed6f27974b441c4901f45d1999f3071.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/4a1972c93ff74273a10d6e3a25e47433.png?resizew=75)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/ca5c67acb37e4344aca4776bfadbb516.png?resizew=61)
③存在三次函数有两个及两个以上的对称中心;
④若函数
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/6f90ab20b1234a0b8c61bb78c5026c69.png?resizew=155)
![](https://img.xkw.com/dksih/QBM/2013/6/7/1571240628027392/1571240633196544/STEM/cbdd6b14556e4870b23f8c1dcfe4e3ad.png?resizew=373)
其中正确命题的序号为
您最近一年使用:0次
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2 . 给出下列三种说法:
①命题p:∃x0∈R,tan x0=1,命题q:∀x∈R,x2-x+1>0,则命题“p∧(
)”是假命题.
②已知直线l1:ax+3y-1=0,l2:x+by+1=0,则l1⊥l2的充要条件是
=-3.
③命题“若x2-3x+2=0,则x=1”的逆否命题为“若x≠1,则x2-3x+2≠0”.
其中所有正确说法的序号为________________ .
①命题p:∃x0∈R,tan x0=1,命题q:∀x∈R,x2-x+1>0,则命题“p∧(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
②已知直线l1:ax+3y-1=0,l2:x+by+1=0,则l1⊥l2的充要条件是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
③命题“若x2-3x+2=0,则x=1”的逆否命题为“若x≠1,则x2-3x+2≠0”.
其中所有正确说法的序号为
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3 . 下列说法中:
①“若
,则
”的否命题是“若
,则
”;
②“
”是“
”的必要非充分条件;
③“
”是“
或
”的充分非必要条件;
④“
”是“
且
”的充要条件.
其中正确的序号为__________ .
①“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bad6987e8abfbf07d6a2650483d2a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bad6987e8abfbf07d6a2650483d2a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
②“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bfcffd48bd96e513072d998b69b6629.png)
③“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3056bd950bb55035358d45d1b7d354c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c925c4283740ce6cc412c1c5f57b0a.png)
④“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80c89052d44692bfd1e37805035fb5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6455e38ff53ede2508e4d9cb23f0b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a871ef7bf13de3e15489d65b57a3cc.png)
其中正确的序号为
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4 . 给出下列命题
①空间中所有的单位向量都相等;②方向相反的两个向量是相反向量;
③若
满足
,且
同向,则
;
④零向量没有方向;⑤对于任意向量
,必有
.
其中正确命题的序号为( )
①空间中所有的单位向量都相等;②方向相反的两个向量是相反向量;
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d194ecefc9101001d88d3cc0bc9d6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f5387de0f89c529cfd8239130d38f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d194ecefc9101001d88d3cc0bc9d6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c3b11072fd018df3878bec474f7f91.png)
④零向量没有方向;⑤对于任意向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d194ecefc9101001d88d3cc0bc9d6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213a914bbd35e90d87fdd745c51fa9bd.png)
其中正确命题的序号为( )
A.①②③ | B.⑤ | C.④⑤ | D.①⑤ |
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5 . 对于曲线
:
,给出下面四个命题:
①曲线
可能表示圆;
②当
时,曲线
表示椭圆;
③若曲线
表示双曲线,则
或
;
④若曲线
表示焦点在
轴上的椭圆,则
;
其中所有正确命题的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f5d8320cca3ff218e4ca903df259c4.png)
①曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d319c9420485fb86f13e0628ed4fd595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
③若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df2817c52144d06555e98131b5e657c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0266e0e890fb1b84be352fdc65bb298.png)
④若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b0c195ebd4c1f74ca5498a46fc9750c.png)
其中所有正确命题的序号为
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6 . 下列结论:
“直线l与平面
平行”是“直线l在平面
外”的充分不必要条件;
若p:
,
,则
:
,
;
命题“设a,
,若
,则
或
”为真命题;
“
”是“函数
在
上单调递增”的充要条件.
其中所有正确结论的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c512c047783c07da1d4f4455a4033ef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/876959b9f90f2379cf3d0927a8e31005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bded4e08a5c75fd82f1868c9f4c5b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3719d2ca3c5877bafc18f58c1fdf4b3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4690a619a829c621fb7cd1e98df13f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbdf492b48e5da4602f2bde199deae4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3bc9e7fe40882f2f79bcf8d87a7f031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67773252101fb3704fdac88b5f3f1bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bea9391c115618bb84a7aa3da8a242d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60dbdf0c087ab6be44595a5ca285acbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd594e99f82b7736c44e18b2721e607f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10baec9d907f3ccb3f64ad3de53a589d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74269cfb503e736149e1ac3165fcbafa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89e1ee3b8e2751f354aa5ab7135c75b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b3de9d6894829d7de515544cd6cd2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8fe868d4152f599a9ae5a0dae150cb0.png)
其中所有正确结论的序号为
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3卷引用:【市级联考】江苏省海门市2018-2019学年高二上学期期末联考数学(理)试题
7 . 在下列给出的命题中,所有正确命题的序号为____________ .
①若
为互斥事件,则
;
②若
,则
成等比数列;
③经过两个不同的点
、
的直线都可以用方程![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4987b682f2616cf2d3363c0409e3006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4954bf80c348915da86a442e1c912b95.png)
来表示;
④若函数
对一切
满足:
,则函数
为奇函数或偶函数;
⑤若函数
有两个不同的零点
,则
.
①若
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572383539773440/1572383545827328/STEM/d36378b1a4444f95af26d11c5fa79f6e.png?resizew=32)
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572383539773440/1572383545827328/STEM/45db5892819b4f02ab5b9f03edfecc2f.png?resizew=108)
②若
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572383539773440/1572383545827328/STEM/7ee33a1e3fba43df9731ba4f8efe0cd4.png?resizew=51)
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572383539773440/1572383545827328/STEM/94e995d0e55d4891a80f86073aef3f7c.png?resizew=40)
③经过两个不同的点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec391f08f1452fb3e0aebe7e12ba4fb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a4422395ca20fe847419ec569e48b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4987b682f2616cf2d3363c0409e3006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4954bf80c348915da86a442e1c912b95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b41939a729cdeb8e79b9e9bd3fae11fb.png)
④若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572383539773440/1572383545827328/STEM/140d5d745c4349fda7a8d1c68d90b7db.png?resizew=101)
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572383539773440/1572383545827328/STEM/e6eda5a6e2ca480883e4177f3f1121d3.png?resizew=36)
⑤若函数
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572383539773440/1572383545827328/STEM/185b8378da4a44c7997e903c715dacfa.png?resizew=137)
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572383539773440/1572383545827328/STEM/6a113b06ab2b42359077821fdbb05127.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572383539773440/1572383545827328/STEM/bd596a32f8d5488fb6af21a5b7bbff70.png?resizew=60)
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8 . 已知命题
:“若
,则
有实数解”的逆命题;命题
:“若函数
的值域为
,则
”.以下四个结论:
①
是真命题;②
是假命题;③
是假命题;④
为假命题.
其中所有正确结论的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93f160cc4fd73afd64c14af6d355aa84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a53bbfbb39affc80bec7148c0595cbed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f3de3c22cb75669ec3526f82a946937.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751afe327bd2cd6e0d2336556ee5aded.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/094543346d88c4ed45c1b1fb91f5265b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba854cbca86f7a9350d0ee5e19160c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9aacc4fa7d44974d18a3fb9e290b5c.png)
其中所有正确结论的序号为
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9 . 对于函数
,现给出四个命题:
①
时,
为奇函数;
②
的图象关于
对称;
③
时,方程
有且只有一个实数根;
④方程
至多有两个实数根
其中正确命题的序号为__________ .
![](https://img.xkw.com/dksih/QBM/2015/12/10/1572351240077312/1572351246090240/STEM/a7aa9b5b63504ac7b8612872251502ec.png?resizew=140)
①
![](https://img.xkw.com/dksih/QBM/2015/12/10/1572351240077312/1572351246090240/STEM/91b66410cdfd4499b02c23add720e466.png?resizew=39)
![](https://img.xkw.com/dksih/QBM/2015/12/10/1572351240077312/1572351246090240/STEM/246b360754924bd79dbdad57cc664d4c.png?resizew=36)
②
![](https://img.xkw.com/dksih/QBM/2015/12/10/1572351240077312/1572351246090240/STEM/9965fb61cbf644aca84c04d9925bbd86.png?resizew=61)
![](https://img.xkw.com/dksih/QBM/2015/12/10/1572351240077312/1572351246090240/STEM/a97d06b243cf49338bd65a98831c771f.png?resizew=37)
③
![](https://img.xkw.com/dksih/QBM/2015/12/10/1572351240077312/1572351246090240/STEM/2ab5ce4247b64f22bd80de2abc13e900.png?resizew=79)
![](https://img.xkw.com/dksih/QBM/2015/12/10/1572351240077312/1572351246090240/STEM/17184c2c32e1430fba7e60ba9d21a012.png?resizew=60)
④方程
![](https://img.xkw.com/dksih/QBM/2015/12/10/1572351240077312/1572351246090240/STEM/17184c2c32e1430fba7e60ba9d21a012.png?resizew=60)
其中正确命题的序号为
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