(本题满分12分)如图,三棱锥A—BPC中,AP⊥PC,AC⊥BC,M为AB中点,D为PB中点,且△PMB为正三角形.
(Ⅰ)求证:DM//平面APC;
(Ⅱ)求 证:平面ABC⊥平面APC;(Ⅲ)若BC=4,AB=20,求三棱锥D—BCM的体积.
(Ⅰ)求证:DM//平面APC;
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(本题满分12分)如图,三棱锥A—BPC中,AP⊥PC,AC⊥BC,M为AB中点,D为PB中点,且△PMB为正三角形.
(Ⅰ)求证:DM//平面APC;
(Ⅱ)求 证:平面ABC⊥平面APC;(Ⅲ)若BC=4,AB=20,求三棱锥D—BCM的体积.
(Ⅰ)求证:DM//平面APC;
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(本题满分12分)如图,三棱锥A—BPC中,AP⊥PC,AC⊥BC,M为AB中点,D为PB中点,且△PMB为正三角形.
(Ⅰ)求证:DM//平面APC;
(Ⅱ)求 证:平面ABC⊥平面APC;(Ⅲ)若BC=4,AB=20,求三棱锥D—BCM的体积.
(Ⅰ)求证:DM//平面APC;
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(本题满分12分)如图,三棱锥A—BPC中,AP⊥PC,AC⊥BC,M为AB中点,D为PB中点,且△PMB为正三角形.
(Ⅰ)求证:DM//平面APC;
(Ⅱ)求 证:平面ABC⊥平面APC;(Ⅲ)若BC=4,AB=20,求三棱锥D—BCM的体积.
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(Ⅰ)求证:DM//平面APC;
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