有下列五個命題:
① 在
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中,
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;則命題
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是命題
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的充要條件;
②
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數(shù)列
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是等差數(shù)列,
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數(shù)列
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是單調(diào)數(shù)列;命題
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是命題
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的充要條件;
③
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是銳角
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,
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;則命題
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是命題
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的充要條件;
④
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或
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是
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成立的必要不充
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分條件;
⑤
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是方程
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至少有一個負(fù)數(shù)根的充分不必要條件.
其中正確的命題序號是____________.
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已知m>0,設(shè)命題
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函數(shù)
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在
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上單調(diào)遞減;命題
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關(guān)于
x的不等式
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的解集為
R。若命題
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與
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有且僅有一個正確,求
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的取值范圍。
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給出下列三個命題:①
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在其定義域內(nèi)有極值點;②
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在
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上遞減;③若三次函數(shù)
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是奇函數(shù),則其圖象與
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軸不可能有兩個公共點.其中假命題的序
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號是
.(把所有假命題的序號都填上)
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下列命題中,正確命題的序號是__________.
①若
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,
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,則
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的值是
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;
②終邊在
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軸上的角的集合是
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;
③在同一坐標(biāo)系中,函數(shù)
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的圖像與函數(shù)
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的圖像有
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個公共點;
④把函數(shù)
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的圖像向右平移
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得到
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的圖像;
⑤函數(shù)
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的一個對稱中心是
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.
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若命題
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的否命題為
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,命題
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的逆命題為
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,則
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是
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的逆命題

的 ( )
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已知
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、
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是不重合的直線,a、b是不重合的平面,有下列命題:
①若
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a、
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∥b,則
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∥
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; ②若
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∥a、
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∥b,則a∥b;
③若a∩b=
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,
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∥
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,則
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∥a,
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∥b;④若
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⊥a,
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⊥b,則a∥b.
其中真命題的個數(shù)是
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(本小題滿分10分)
設(shè)有兩個命
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題
p:關(guān)于x的不等式
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(
a > 0,且
a ≠ 1)的解集是{
x | x < 0 };
q:函數(shù)
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的定義域為R.如果
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為真命題,
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為假命題,求實數(shù)
a的取值范圍.
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