.定義在實數(shù)集R上的函數(shù)
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,如果存在函數(shù)
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(A,B為常數(shù)),使得
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對一切實數(shù)
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都成立,那么稱為
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為函
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數(shù)
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的一個承托函數(shù),給出如下命題:
(1)定義域和值域都是R的函數(shù)
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不存在承托函數(shù);
(2)
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為函數(shù)
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的一個承托函數(shù);
(3)
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為函數(shù)
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的一個承托函數(shù);
(4)函數(shù)
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,若函數(shù)
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的圖象恰為
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在點
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處的切線,則
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為函數(shù)
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的一個承托函數(shù)。
其中正確的命題的個數(shù)是( )
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下列說法中,
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正確的有__________ (把所有正確的序號都填上).
①“

,使
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”的否定是“
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,使
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”;
②函數(shù)
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的最小正周期是
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;
③命題“函數(shù)
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在
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處有極值,則
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=0”的否命題是真命題;
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④已知函數(shù)
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是函數(shù).
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在R上的導函數(shù),若
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是偶函數(shù),則
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是奇函數(shù);
⑤
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等于.
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點
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是圓
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上任意一點,若點P的坐標滿足不等式
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,則實數(shù)m的取值范圍是
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.已知函數(shù)
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,且
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,
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,

,下列命題:
①若
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,則
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②存在
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,
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,使得
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③若
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,
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,則
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④對任意的
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,
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,都有
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其中正確的命題是 ( )
A.①② B
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.②③ C.③④ D.②③④
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已知
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是不同的直線,

是不同的平面,則下列條件中,不能判定

的是
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以下四個命題中:
①若
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是平面

的斜線,直線
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垂直于
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在平面
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內的射影,則

;
②若
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是平面
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的斜線,直線
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,則直線
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垂直于
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在平面
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內的射影;
③若
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是平面

的斜線,直線
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,且
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垂直于
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在平面
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內的射影,則
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;
④若
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是平面
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的斜線,直線
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,
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,則
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垂直于
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在平面
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內的射影. 其中假命題的個數(shù)是( )
A.1個 | B.2個 | C.3個 | D.4個 |
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已知直線
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和平面
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,試利用上述三個元素并借助于它們
之間的位置關系,構造出一個判斷
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⊥
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的真命題
.
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