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        1. 已知直線和兩個不同的平面.則下列命題中錯誤的是 ▲ (請寫出錯誤命題的序號). 查看更多

           

          題目列表(包括答案和解析)

          6、已知兩個不同的平面α,β和兩條不重合的直線m,n,在下列四個命題中錯誤的是( 。

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          已知兩個不同的平面α,β和兩條不重合的直線m,n,在下列四個命題中錯誤的是(  )
          A.若mα,α∩β=n,則mnB.若m⊥α,m⊥β,則αβ
          C.若mn,m⊥α,則n⊥αD.若m⊥α,mn,n?β,則α⊥β

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          已知兩個不同的平面α,β和兩條不重合的直線m,n,在下列四個命題中錯誤的是( )
          A.若m∥α,α∩β=n,則m∥n
          B.若m⊥α,m⊥β,則α∥β
          C.若m∥n,m⊥α,則n⊥α
          D.若m⊥α,m∥n,n?β,則α⊥β

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          已知兩個不同的平面α,β和兩條不重合的直線m,n,在下列四個命題中錯誤的是( )
          A.若m∥α,α∩β=n,則m∥n
          B.若m⊥α,m⊥β,則α∥β
          C.若m∥n,m⊥α,則n⊥α
          D.若m⊥α,m∥n,n?β,則α⊥β

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          已知兩個不同的平面α,β和兩條不重合的直線m,n,在下列四個命題中錯誤的是


          1. A.
            若m∥α,α∩β=n,則m∥n
          2. B.
            若m⊥α,m⊥β,則α∥β
          3. C.
            若m∥n,m⊥α,則n⊥α
          4. D.
            若m⊥α,m∥n,n?β,則α⊥β

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          1-10.CDBBA   CACBD

          11.6ec8aac122bd4f6e 12. ①③④   13.-2或1  14. 6ec8aac122bd4f6e、6ec8aac122bd4f6e  15.2  16. 6ec8aac122bd4f6e 17.6ec8aac122bd4f6e.

          18.

          解:(1)由已知6ec8aac122bd4f6e6ec8aac122bd4f6e          7分

          (2)由6ec8aac122bd4f6e                                                                   10分

          由余弦定理得6ec8aac122bd4f6e                          14分

           

          19.(1)證明:∵PA⊥底面ABCD,BC6ec8aac122bd4f6e平面AC,∴PA⊥BC,                                  3分

          ∵∠ACB=90°,∴BC⊥AC,又PA∩AC=A,∴BC⊥平面PAC.                             5分

          (2)解:過C作CE⊥AB于E,連接PE,

          ∵PA⊥底面ABCD,∴CE⊥面PAB,

          ∴直線PC與平面PAB所成的角為6ec8aac122bd4f6e,                                                     10分

          ∵AD=CD=1,∠ADC=60°,∴AC=1,PC=2,

          6ec8aac122bd4f6e中求得CE=6ec8aac122bd4f6e,∴6ec8aac122bd4f6e.                                                  14分

           

          6ec8aac122bd4f6e20.解:(1)由6ec8aac122bd4f6e①,得6ec8aac122bd4f6e②,

          ②-①得:6ec8aac122bd4f6e.                              4分

          (2)由6ec8aac122bd4f6e求得6ec8aac122bd4f6e.          7分

          6ec8aac122bd4f6e,6ec8aac122bd4f6e   11分

          6ec8aac122bd4f6e

          6ec8aac122bd4f6e.                                                                 14分

           

          21.解:

          (1)由6ec8aac122bd4f6e得c=1                                                                                       1分

          6ec8aac122bd4f6e,                                                         4分

          6ec8aac122bd4f6e6ec8aac122bd4f6e

          6ec8aac122bd4f6e                                                                                        5分

          (2)6ec8aac122bd4f6e6ec8aac122bd4f6e,6ec8aac122bd4f6e時取得極值.由6ec8aac122bd4f6e,6ec8aac122bd4f6e6ec8aac122bd4f6e6ec8aac122bd4f6e.                                                                                          8分

          6ec8aac122bd4f6e6ec8aac122bd4f6e,∴當6ec8aac122bd4f6e時,6ec8aac122bd4f6e

          6ec8aac122bd4f6e6ec8aac122bd4f6e上遞減.                                                                                       12分

          6ec8aac122bd4f6e∴函數(shù)6ec8aac122bd4f6e的零點有且僅有1個     15分

           

          22.解:(1) 設6ec8aac122bd4f6e,由已知6ec8aac122bd4f6e,

          6ec8aac122bd4f6e,                                        2分

          設直線PB與圓M切于點A,6ec8aac122bd4f6e

          6ec8aac122bd4f6e

          6ec8aac122bd4f6e6ec8aac122bd4f6e                                                 6分

          (2) 6ec8aac122bd4f6e點 B(0,t),點6ec8aac122bd4f6e,                                                                7分

          進一步可得兩條切線方程為:

          6ec8aac122bd4f6e,                                   9分

          6ec8aac122bd4f6e6ec8aac122bd4f6e6ec8aac122bd4f6e,

          6ec8aac122bd4f6e,6ec8aac122bd4f6e,                                          13分

          6ec8aac122bd4f6e,又6ec8aac122bd4f6e時,6ec8aac122bd4f6e,

          6ec8aac122bd4f6e6ec8aac122bd4f6e面積的最小值為6ec8aac122bd4f6e                                                                            15分

           

           


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