名校
1 . 对于顶点在原点的抛物线,给出下列条件:
(1)焦点在
轴上;
(2)焦点在
轴上;
(3)抛物线上横坐标为1的点到焦点的距离为3;
(4)焦点到准线的距离为4;
(5)由原点向过焦点的某直线作垂线,垂足坐标为
.
能使抛物线方程一定为
的条件是_________________ 填写合适条件的序号)
(1)焦点在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)焦点在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(3)抛物线上横坐标为1的点到焦点的距离为3;
(4)焦点到准线的距离为4;
(5)由原点向过焦点的某直线作垂线,垂足坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5030685d4bfdaba51d78d4678f3e101c.png)
能使抛物线方程一定为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
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20-21高一·江苏·课后作业
2 . 根据下列所给的各组p,q填空:
①p:
,q:
;
②p:两个三角形的两边及其夹角分别对应相等,q:两个三角形全等;
③p:
,q:
;
④p:二次函数
的图象过坐标原点,q:
;
⑤p:两条直线被第三条直线所截,同旁内角互补,q:这两条直线平行;
⑥p:两直角三角形的斜边相等,q:两直角三角形全等.
其中,p是q必要条件的有__________ ;p是q充分条件的有__________ ;p是q充要条件的有__________ .(填写序号)
①p:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc1f719e6467633f50ac7ad38a0ee119.png)
②p:两个三角形的两边及其夹角分别对应相等,q:两个三角形全等;
③p:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22fec5a381ae8aca93d876e54c79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf5821f59d12217af9a3804379c8231f.png)
④p:二次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42b4bbc06ca03662f71ab6f23203b83a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a882037b9ce104ecc496e0f31a139361.png)
⑤p:两条直线被第三条直线所截,同旁内角互补,q:这两条直线平行;
⑥p:两直角三角形的斜边相等,q:两直角三角形全等.
其中,p是q必要条件的有
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3 . 在下列四个命题中:
①命题“若
,则
、
互为倒数”的逆命题;
②命题“若两个三角形面积相等,则它们全等”的否命题;
③命题“若
,则
或
”的逆否命题;
④命题“
,
”的否定.
其中真命题有________________ (填写正确命题的序号).
①命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377a2333ff8c63cbdb20b882d6d5a7ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
②命题“若两个三角形面积相等,则它们全等”的否命题;
③命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34982de5d3f287cd570ea30eb46d185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515713922221bfa136afa32822bb7ad1.png)
④命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1485a4756c56f1126b9825d5019d544c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca7f303621625b34a0c0905889bb711.png)
其中真命题有
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名校
4 . “
”是“
”的__________ 条件.(填写“充分必要”、“充分不必要”、“必要不充分”、“既不充分也不必要”之一)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45e3600cf5bd1064a1cc03598b4ba70d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad99f286d557b3c400af3f220c7cfdbc.png)
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2020-03-25更新
|
308次组卷
|
3卷引用:2020届江苏省南通市海安高级中学高三第二次模拟考试数学试题
2020届江苏省南通市海安高级中学高三第二次模拟考试数学试题江苏省盐城县中2019-2020学年高三上学期10月联考数学试题(已下线)专题1.2 常用逻辑用语-备战2021年高考数学精选考点专项突破题集(新高考地区)
5 . 若命题
,
,命题
函数
在R上是增函数,则p是q的__________ 条件(填写:充分不必要,必要不充分,充要,既不充分也不必要).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fac11dd95cb4b78adb817fad02dedb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8477115bbc1adee6a08ab0634811c4e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe357aa87fc825eda32b1b964a67aa8.png)
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20-21高二·全国·假期作业
解题方法
6 . 设有下面四个命题:
①若复数
满足
,则
;
②若复数
满足
,则
是虚数;
③若复数
满足
,则
;
④若复数
、
满足
,则
;
其中是真命题的有___________ (填写所有真命题的编号).
①若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd79b4eb70d48435dec8824ad892494d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c70cecfc37310dd869b0d51ff44d64e9.png)
②若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/452262f21f9a05d43e371fa3f5b126a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
③若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc97f70a58d22400f7ab50fa1cdc79d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c70cecfc37310dd869b0d51ff44d64e9.png)
④若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e045c712fb1efd2b4681134707cc86c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de59a6da1ee210ccf04651ae53275dd.png)
其中是真命题的有
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7 . 已知
实数
满足
,
实数
满足
,则
是
的_______ .(填写“充分且不必要条件”,“必要且不充分条件”,“充分必要条件”或“既不充分也不必要条件”)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966d9dd819cba29980da3700422c2497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc0be05798acfc4157be7b8b13468d65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
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名校
8 . 设数列
满足当
(
)成立时,总可以推出
成立.下列四个命题:
(1)若
,则
.
(2)若
,则
.
(3)若
,则
.
(4)若
,则
.
其中正确的命题是__________ .(填写你认为正确的所有命题序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33c14f0220359ead94f73ba08d5988f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bca3179ad97cbe743dcb348f5ee031.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e3220209234bd5e4a263dbed082814.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c10aa049817b5c5e66c35058b65c63bc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a38c5d56a437f36bde9ce723233e0063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39927871e1a12c7336505a7ac089c94a.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08cbf69ba0650aedf0b797cd1a55a174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c10aa049817b5c5e66c35058b65c63bc.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13512d030a558543db1d05f33daada1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f640004b469d902d5c0ed3a52e4f1bd2.png)
其中正确的命题是
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名校
9 . “
”是“
”的一个__________ 条件.(在“充分不必要”、“必要不充分”、“充要”、“既不充分也不必要”选择一个填写)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93f9b279a85e786ac574caf38b14e5dd.png)
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10 . “
”是“
”成立的______ 条件
在“充分不必要”,“必要不充分”,“充要”,“既不充分又不必要”中选一个填写
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73693d905667035addc510264645bc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b81bace06911edf2efbabeea969643e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
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