1 . 给出下面类比推理命题(其中
为有理数集,
为实数集,
为复数集):①“若
,则
”类比推出“若
,则
”;②“若
,则复数
且
”类比推出“若
,则复数
且
”;③“若
,则
”类比推出“若
,则
”.其中类比结论错误的个数是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df72df862b00830a5d07b804fee9c420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2130dfd8a7f257cd858d55f01c2a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df72df862b00830a5d07b804fee9c420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ac12138178cb539a9e1c8f77587038.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01bf8cb93c84f9bc78b8b36a3d0e3e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc330a9671536bc46fa244b4ceebcf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343b7ba728f9b123b34a8f0ba4aa0c08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb15a62f85857e7bebb72c10558a5abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc330a9671536bc46fa244b4ceebcf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5d31a5c00e830688badb6d91630b72a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2130dfd8a7f257cd858d55f01c2a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5d31a5c00e830688badb6d91630b72a.png)
A.0 | B.1 | C.2 | D.3 |
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11卷引用:吉林省实验中学2016-2017学年高二下学期期中考试数学(文)试题
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2 . 在复平面内,复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8047f8751f5b238ce6d6237f7605b3a7.png)
对应向量
(
为坐标原点),设
,以射线
为始边,
为终边旋转的角为
,则
,法国数学家棣莫弗发现棣莫弗定理:
,
,则
,由棣莫弗定理导出了复数乘方公式:
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8047f8751f5b238ce6d6237f7605b3a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9a00daa8c220dfc7b155c000e27863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9d00a5d8c399448752f3da2443d6bfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/463c8f85c9c69aa80782eb0870c28ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54d290009e138d1f0d4cb771cada9f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48dd58444528a15fe3513ebd38d90150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2012a9521342815bc9e7250c8c11f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97581e4e1f6c354ffcc09a89fb62aa30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4767eebddd40410107c15d28c18d9bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec589e1a8c02d957c73c21bde61ee3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d73ea16db794611880edd68a353ef8f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4卷引用:吉林省长春市实验中学2019-2020学年高二下学期期中考试数学(文科)试卷
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3 . 若
,则
,某学生由此得出结论:若
,则
,该学生的推理是 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3387781943035da5ccf92aa7c7926af8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f820bec05622a88778dab1db916c50f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea77b7c1c49d58da6fbaf2890c65634a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f820bec05622a88778dab1db916c50f.png)
A.演绎推理 | B.逻辑推理 |
C.归纳推理 | D.类比推理 |
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4 . 经计算,发现下列不等式都是正确的:
,
根据以上规律,试写出一个对正实数
成立的条件不等式________________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b56a3235e7bf330391fe1bcaca8bfe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6da9b7d4840935857a0464bf2510e3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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