1 . 下列哪些命题是真命题?_______
(1)
是
的充要条件
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7601a33e9cf63db183630b01ac84032e.png)
(3)
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b01df04fd13dd27cd4acf6645367196.png)
(4)若
为无理数,则
为无理数
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5206984aa8c1487f1ed2528045b16b18.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7601a33e9cf63db183630b01ac84032e.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20a1af4425e9b77626f10f270e23648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b01df04fd13dd27cd4acf6645367196.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
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解题方法
2 .
的一个充分不必要条件是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f0b6d1dd53f73b5bf8c2bf4fade268.png)
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3 . 已知
,
,则“
,
”是“
”的______ 条件,“
”是“
”的______ 条件.(填“充分不必要”或“必要不充分”或“充要”或“既不充分也不必要”)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2357ed8dbe6d3911738b8f747d670d3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c328c9c4ec69c4275e27576fb61655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa984f7163c0b5daaf15e1ff4590a0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
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4 . “
”是“
”的_________________ 条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25bff7f2f0ce3f3c3d66291a0ee9b49f.png)
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名校
5 . “
”是“
”的__________ .(选“充分不必要条件”、“必要不充分条件”、“充要条件”、“既不充分也不必要条件”之一填空)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d229cbec798c9c278a9b5979cb38247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8073266cfa99b04190473d16b615a8.png)
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6 . 用“充分不必要条件”,“必要不充分条件”或“充要条件”填空
(1)“
”是“
”的______ ;
(2)“
”是“
”的_________ ;
(3)当
时,“
”是“
”的_____ .
(1)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/752455799e49f846e2601304fec5d3b8.png)
(2)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c007519bc7aa785f6ec5ba95d15caf26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c328c9c4ec69c4275e27576fb61655.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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名校
7 . 已知集合
,
,则“
”是“
”的______ 条件.(填“充分”或“必要”)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5614dd20b033eec71f40c80833b0ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034bda11a15d66c0f885818ebbc40e20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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2023·全国·模拟预测
解题方法
8 . “
”是“直线
与直线
垂直”的______ 条件.(填“充分不必要”“必要不充分”“充要”或“既不充分也不必要”)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d782efdac56b5359072e8602fff34357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de6007a2eb58a3798c91fb00db053348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70439c43c08b3a58e92c10888db1ed4.png)
您最近一年使用:0次
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9 . 若
,则“
”是“
”的______ .(充分不必要条件、必要不充分条件、充要条件、既不充分也不必要条件)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af44228909a21fc73eb19c318d5dec89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
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10 . “
”是“
”的______ 条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba53065eb180a682305fddb95d14b62f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08587591cfb5275dc14d5bb66a397e93.png)
您最近一年使用:0次