新高考數(shù)學(xué)一輪復(fù)習(xí)第8章 第03講 圓的方程 精練（學(xué)生版）

第03講圓的方程(精練）A夯實(shí)基礎(chǔ)B能力提升C綜合素養(yǎng)A夯實(shí)基礎(chǔ)一、單選題1．已知“SKIPIF1<0”是“SKIPIF1<0”表示圓的必要不充分條件，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．點(diǎn)SKIPIF1<0為圓SKIPIF1<0上一動點(diǎn)，點(diǎn)SKIPIF1<0到直線SKIPIF1<0的最短距離為（

）A．SKIPIF1<0 B．1 C．SKIPIF1<0 D．SKIPIF1<03．已知圓SKIPIF1<0上僅有一點(diǎn)到直線SKIPIF1<0的距離為1，則實(shí)數(shù)a的值為（

）．A．11 B．SKIPIF1<0 C．1 D．44．德國數(shù)學(xué)家米勒曾提出最大視角問題，這一問題一般的描述是：已知點(diǎn)A、B是SKIPIF1<0的ON邊上的兩個定點(diǎn)，C是OM邊上的一個動點(diǎn)，當(dāng)C在何處時，SKIPIF1<0最大？問題的答案是：當(dāng)且僅當(dāng)SKIPIF1<0的外接圓與邊OM相切于點(diǎn)C時，SKIPIF1<0最大．人們稱這一命題為米勒定理．已知點(diǎn)P、Q的坐標(biāo)分別是（2，0），（4，0），R是y軸正半軸上的一動點(diǎn)，當(dāng)SKIPIF1<0最大時，點(diǎn)R的縱坐標(biāo)為（

）A．1 B．SKIPIF1<0 C．SKIPIF1<0 D．25．某圓經(jīng)過SKIPIF1<0兩點(diǎn)，圓心在直線SKIPIF1<0上，則該圓的標(biāo)準(zhǔn)方程為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<06．已知正三角形ABC的邊長為SKIPIF1<0，平面ABC內(nèi)的動點(diǎn)P，滿足SKIPIF1<0，則SKIPIF1<0的最大值是（

）A．SKIPIF1<0 B．13 C．SKIPIF1<0 D．SKIPIF1<07．如圖，點(diǎn)A，B，D在圓Γ上，點(diǎn)C在圓Γ內(nèi)，SKIPIF1<0，若SKIPIF1<0，且SKIPIF1<0與SKIPIF1<0共線，則圓Γ的周長為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．已知點(diǎn)SKIPIF1<0，點(diǎn)M是圓SKIPIF1<0上的動點(diǎn)，點(diǎn)N是圓SKIPIF1<0上的動點(diǎn)，則SKIPIF1<0的最大值是（

）A．1 B．SKIPIF1<0 C．SKIPIF1<0 D．2二、多選題9．設(shè)有一組圓SKIPIF1<0：SKIPIF1<0SKIPIF1<0，下列命題正確的是（

）A．不論SKIPIF1<0如何變化，圓心SKIPIF1<0始終在一條直線上B．所有圓SKIPIF1<0均不經(jīng)過點(diǎn)SKIPIF1<0C．經(jīng)過點(diǎn)SKIPIF1<0的圓SKIPIF1<0有且只有一個D．所有圓的面積均為SKIPIF1<010．直線SKIPIF1<0與圓SKIPIF1<0的大致圖像可能正確的是（

）A． B．C． D．三、填空題11．若圓SKIPIF1<0上有且僅有三個點(diǎn)到直線SKIPIF1<0的距離為1，則SKIPIF1<0_______．12．直角坐標(biāo)平面SKIPIF1<0中，若定點(diǎn)A（1，2）與動點(diǎn)P（x，y）滿足SKIPIF1<0，則點(diǎn)P的軌跡方程是___________.四、解答題13．已知SKIPIF1<0的三個頂點(diǎn)分別為SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，求：(1)SKIPIF1<0邊上中線SKIPIF1<0所在直線的方程；(2)SKIPIF1<0邊的垂直平分線SKIPIF1<0的方程；(3)SKIPIF1<0的外接圓方程．14．在平面直角坐標(biāo)系SKIPIF1<0中，曲線SKIPIF1<0與兩坐標(biāo)軸的交點(diǎn)都在圓SKIPIF1<0上.(1)求圓SKIPIF1<0的方程；(2)已知SKIPIF1<0為坐標(biāo)原點(diǎn)，點(diǎn)SKIPIF1<0在圓SKIPIF1<0上運(yùn)動，求線段SKIPIF1<0的中點(diǎn)SKIPIF1<0的軌跡方程.B能力提升1．已知點(diǎn)SKIPIF1<0在圓SKIPIF1<0上，點(diǎn)SKIPIF1<0，則（

）A．點(diǎn)SKIPIF1<0到直線SKIPIF1<0的距離小于8B．點(diǎn)SKIPIF1<0到直線SKIPIF1<0的距離大于2C．當(dāng)SKIPIF1<0最小時，SKIPIF1<0D．當(dāng)SKIPIF1<0最大時，SKIPIF1<02．過點(diǎn)SKIPIF1<0的直線SKIPIF1<0與圓SKIPIF1<0交于SKIPIF1<0兩點(diǎn)，當(dāng)SKIPIF1<0最小時，直線SKIPIF1<0的方程為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．已知SKIPIF1<0，SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0的最大值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．若直線SKIPIF1<0被圓SKIPIF1<0截得的弦長為4，則SKIPIF1<0的最小值是（

）A．9 B．4 C．SKIPIF1<0 D．SKIPIF1<0C綜合素養(yǎng)1．已知點(diǎn)SKIPIF1<0在圓：SKIPIF1<0上運(yùn)動．試求：(1)SKIPIF1<0的最值；(2)SKIPIF1<0的最值；2．在平面直角坐標(biāo)系xOy中，點(diǎn)SKIPIF1