高一數(shù)學(xué)暑假作業(yè)平面向量的數(shù)量積

平面向量數(shù)量積看一看【知識(shí)回憶】平面向量數(shù)量積：=1\*GB2⑴SKIPIF1<0．零向量與任一向量數(shù)量積為SKIPIF1<0．=2\*GB2⑵性質(zhì)：設(shè)SKIPIF1<0和SKIPIF1<0都是非零向量，那么=1\*GB3①SKIPIF1<0．=2\*GB3②當(dāng)SKIPIF1<0與SKIPIF1<0同向時(shí)，SKIPIF1<0；當(dāng)SKIPIF1<0與SKIPIF1<0反向時(shí)，SKIPIF1<0；SKIPIF1<0或SKIPIF1<0．=3\*GB3③SKIPIF1<0．=3\*GB2⑶運(yùn)算律：=1\*GB3①SKIPIF1<0；=2\*GB3②SKIPIF1<0；=3\*GB3③SKIPIF1<0．=4\*GB2⑷坐標(biāo)運(yùn)算：設(shè)兩個(gè)非零向量SKIPIF1<0，SKIPIF1<0，那么SKIPIF1<0．假設(shè)SKIPIF1<0，那么SKIPIF1<0，或SKIPIF1<0．設(shè)SKIPIF1<0，SKIPIF1<0，那么SKIPIF1<0．設(shè)SKIPIF1<0、SKIPIF1<0都是非零向量，SKIPIF1<0，SKIPIF1<0，SKIPIF1<0是SKIPIF1<0與SKIPIF1<0夾角，那么SKIPIF1<0．想一想平面向量數(shù)量積性質(zhì)有哪些？練一練1．向量SKIPIF1<0，SKIPIF1<0，假設(shè)SKIPIF1<0，那么實(shí)數(shù)SKIPIF1<0〔〕．A．SKIPIF1<0或SKIPIF1<0B．SKIPIF1<0C．SKIPIF1<0D．SKIPIF1<02．假設(shè)非零向量滿足//，且，那么〔〕A．4B．3C．2D．03．SKIPIF1<0，SKIPIF1<0，那么以下結(jié)論中正確是〔〕A．SKIPIF1<0B．SKIPIF1<0C．SKIPIF1<0D．SKIPIF1<04．假設(shè)SKIPIF1<0，SKIPIF1<0，那么向量SKIPIF1<0在向量SKIPIF1<0方向上投影為〔〕A．SKIPIF1<0B．SKIPIF1<0C．SKIPIF1<0D．SKIPIF1<05．SKIPIF1<0，那么SKIPIF1<0與SKIPIF1<0夾角為〔〕A．SKIPIF1<0B．SKIPIF1<0C．SKIPIF1<0D．SKIPIF1<06．在SKIPIF1<0中，D是BC中點(diǎn)，AD=3，點(diǎn)P在AD上且滿足SKIPIF1<0那么SKIPIF1<0〔〕A．6B．SKIPIF1<0C．-12D．SKIPIF1<07．向量SKIPIF1<0，假設(shè)SKIPIF1<0，那么實(shí)數(shù)SKIPIF1<0=．8．假設(shè)向量a，b夾角為SKIPIF1<0___________．9．如圖，在△SKIPIF1<0中，SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，那么SKIPIF1<0值為_______．10．SKIPIF1<0，且SKIPIF1<0與SKIPIF1<0夾角為120°．求：(1)SKIPIF1<0；(2)SKIPIF1<0；(3)SKIPIF1<0．11．向量SKIPIF1<0，SKIPIF1<0．〔1〕求SKIPIF1<0與SKIPIF1<0夾角；〔2〕假設(shè)SKIPIF1<0，求實(shí)數(shù)SKIPIF1<0值．12．在等腰直角SKIPIF1<0△ABC中，SKIPIF1<0，SKIPIF1<0，SKIPIF1<0是斜邊SKIPIF1<0上點(diǎn)，滿足SKIPIF1